In Akkadian it was Adad.
The Anunnaki gods list has one line for "Adad - God of storms and rain" and a second line for "Ishkur - God of thunderstorms and rain".
In Akkadian, Adad is also known as Rammanu ("Thunderer")
In Babylon he was Adad, and his symbol was the bull.
A text from the reign of Ur-Ninurta shows "the two sides of Adad/Iškur as threatening in his stormy rage, and benevolent in giving life".
The Mesopotamian flood stories gave Adad his biggest scenes.
He asks the other gods to cut the food supply, and he names Adad as the one who should hold the rain back.
The elders bring gifts to Adad.
Adad is shamed by the presents and works against Enlil in secret.
Anu and Adad were to guard what is above, and Enlil was to guard the earth.
Earlier he orders that Anu and Adad keep the air above the earth locked.
So in this poem Adad shares the sky with Anu, the head of the Anunnaki, and Enlil keeps the earth.
When it comes, Adad is the one who brings it.
The weather changes, and Adad roars from the clouds.
With the first light of dawn a black cloud came from the horizon; it thundered within where Adad, Lord of the storm was riding.
A closer translation by Andrew George puts it this way: "within it did Adad bellow continually."
In both, the order comes from the council of gods and Adad is the weather that carries it out.
In his words from The 5th Kind interview, "Enlil wants a cull, wants to get rid of the human beings, just the same as the Yahweh character in the Bible." Wallis does not name Adad in the passage I read.
It says: "Anu was represented by the number 60, Enlil by 50, Ea by 40, Sin, the moon god, by 30, Shamash by 20, Ishtar by 15, and Adad, the god of storms, by 6." So Adad had a seat in the divine hierarchy, but a low number.
Wikipedia treats Enlil and Adad as two gods, and says Adad is "sometimes described as the son of Enlil".
Lowth translated it "after the rites of Achad" and tied Achad to Adad.
Macrobius says in his Saturnalia 1.23 that the Assyrians called their highest god Adad, a name meaning "one".
Adad [storm god] abandoned his rain...
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Hadad (also spelled Adad, Haddad, or Haddu) is primarily a personal name in ancient Near Eastern contexts.
Adad is the Akkadian (Assyrian-Babylonian) form of the same storm god, attested from the 3rd millennium BCE.
Anu was represented by the number 60, Enlil by 50, Ea by 40, Sin, the moon god, by 30, Shamash by 20, Ishtar by 15, and Adad, the god of storms, by 6.
Another deity worth mentioning is Adad (also known as Hadad or Ishkur in Sumerian mythology), who was specifically the god of storms and thunder.
Adad was revered for his ability to bring rain and thunder, which were crucial for agriculture in the Mesopotamian region.
While Enlil and Adad were not primarily water gods (like Enki/Ea, who was the god of water, knowledge, mischief, crafts, and creation), their association with storms and rainfall indirectly connects them to the element of water.
He (Ellil) was furious (with the Igigi,]'We, the great Anunna, all of us,Agreed together on [a plan].Anu and [Adad] were to guard [above],I was to guard the earth [below].