What's the most candy of any type you have?

The most of a single species I think is Magikarp, at 6,323. The benefits of frequenting a water biome.

Other high scorers include Eevee, Pikachu, Pidgey, and Rattata, all 3000+.

Eevee at 7504 followed by Magikarp at 5314.

My current inventory:

Rhyhorn: 950
Dratini: 626
Machop: 1435
Magikarp: 1340
Eevee: 2003 (just kinda happened)
Eggy: 1168
Aron: 1060
Geodude: 978
Makuhita: 1449
Gastly: 1038
Spheal: 1356
Houndour: 1121
Swinub: 1393
Swablu: 1500 (was more before PvP)
Wailmer: 933

I think this sort of profile is typical for a recent level 40 player. Players with more time at level 40 might be in the several thousands for non-meta relavant species.

Remember when Rattata’s spawned everywhere? Pepperidge farm remembers.

Podgey, I mean Pidgey.

Mine are 10.570 Magikarp candy, followed by 7.822 Rattata candy.

Eevee at 4278. Pidgey, Rattata, Weedle, Magikarp, and swablu all over 3k

Mewtwo 2424 candy

Magnemite at almost 2500 (should've been around 4000 if I wasn't evolving so much).

20k club

Lol

My Top 6:

1. Rattata - 5592
2. Magicarp - 5462
3. Machop - 4231
4. Eevee - 4210
5. Geodude - 3845
6. Pikachu - 3668

Currently trying to reach 1000 candies on every Pokemon (apart from Legendary, regionals, Unown and certain extremely rare ones such as Chimecho).