The name for the Bomber Shitennou (ボンバー四天王) literally means Four Heavenly Kings, and originates from Buddhist faith, describing four deities who protected their respective quarters of the Earth, though the term is also used in Japanese fiction to simply refer to any spectacular quartet. True to the source material, the four members serve a fifth member who is greater than them all and is considered separate from the group.
Bomberman Party Edition refers to the group as "Great Bomber and the Four Bomber Kings."
This game reuses a number of songs from other instalments in the series, presumably to tie in with the time travel theme. The map music from Bomberman '93 is reused for the same screen here, Bomberman '94's first world, final world and boss themes are reused for the first world, fifth world and final boss, respectively. The battle menu theme is taken directly from Super Bomberman 3 without so much as a remix, while the same game's battle music is only slightly remixed (though given its constant usage throughout the series that's hardly a big deal).