The name of the monstrous giant with multiple heads in Greek mythology is Typhon. He is described as a fearsome creature, often depicted with wings and many heads, each capable of producing a terrifying sound. Typhon is associated with powerful storms and chaos, representing the struggle against the gods. His battle with Zeus is a central mythological theme, symbolizing the fight between order and chaos in the cosmos, illustrating the dangers of unchecked power and hubris.