Well, the name of the dragon in 'The Neverending Story' is Falkor. Falkor is an iconic character in the story. He has a unique appearance with his long, white, furry body. He is not only a dragon but also a symbol of hope and friendship in the story. His ability to fly and his kind nature make him a beloved character. He helps Atreyu in many ways during their adventures in Fantasia, like providing transportation and support when they face various challenges.