He can also break the HP limit in a different way—actually exceeding his max HP, with help of the DMW.
Break HP Limit is the second-most dominant ability for an armor, behind Ribbon. The armor with Break HP Limit becomes the Genji Shield for Tidus, Genji Bracer for Auron, Arcane Ring for Yuna, Super Goalie for Wakka, Genji Armlet for Kimahri, Minerva Bangle for Lulu, and Atlas for Rikku.
When paired with Break MP Limit, it becomes the most dominant auto-ability combination for an armor. With this combination, Tidus has the Endless Road, Yuna has the Solomon Ring, Auron has the Overlord, Wakka has the Indomitable, Kimahri has the Pride of the Ronso, Lulu has the Samantha Soul, and Rikku has the Dreadnought.
Characters can break the HP limit via the Enterprise accessory and through passive abilities available on the Higher Power and The End Garment Grids. Only the special dresspheres have Break HP Limit as a job ability, after the acquisition of certain key items.
The only way to get HP high enough to go over the limit is by using Bubble. Although the display doesn't go beyond 9,999 HP, the effect still occurs and can even allow Balance to break the damage limit. Libra can display up to 99,999 HP.
In the Zodiac versions, it is possible to reach 9,999 HP (and thus 19,998 HP with Bubble), but a hard cap is set. In The Zodiac Age, Esper HP values are increased significantly, and all of them can naturally break the HP limit.
Dissidia Final Fantasy (2008)
The original Dissidia Final Fantasy had an HP cap, but it was removed for Dissidia 012 Final Fantasy.