脳天気 is a colorful Japanese expression meaning carefree, overly optimistic, or oblivious to reality. Its literal imagery suggests having a “sunny” or empty head, so it can be either playful or mildly critical depending on context.
In the song, people point at the singer and call him 脳天気 because he keeps choosing fun and laughter instead of worrying about life. That contrast makes the word memorable and captures the song’s rebellious, carefree attitude.
"PARADISE" by Janne Da Arc is a cheerful kick in the pants. It goes down a line of stressed-out people and tells each one to loosen up: the stiff businessman gets "肩の力抜いて" (relax your shoulders), the artist hugging their knees is told to make pressure their ally, and everyone is warned about "サブリミナルなコマーシャル" (subliminal commercials), "虜にならないで" (don't become their prisoner). The fix is simple. "みんなで朝まで騒ごう" (let's all party until morning).
There is some sharp humor under the party. One verse jokes that great figures of history become "プレミアム" (premium) once they are called to heaven, though they were worth more alive. Another pokes at people who think "「前に習え」" ("line up in front", the Japanese school command to align with the person ahead) is what being an adult means. The jealous are "ナンセンス" (nonsense), and the self-styled "悲劇のヒロイン" (tragic heroine) never notices the tragedy is in her own heart. The chorus is the whole philosophy: "パラダイスが見つからないなら 今つくればいいじゃない" (if you can't find paradise, why not just make it now), and "パラダイスにルールはいらない" (paradise doesn't need rules). Telling everyone to "ただ裸で踊ろう" (just dance naked) is a bit much, and that's the point.