I think one good test of the counting-friendliness of a language is reciting the digits of pi (the limitation is obvious: only single digits are considered). Among the few languages I know, I can easily recite the first twenty digits after the decimal point in Mandarin within three seconds. In English it’s just painful, at least for me.
Uh... isn't that just because all digits in Chinese are monosyllabic? Doesn't really have much to do with the way the number is conceptualized.
By the way, digits are almost monosyllabic in English too (with the exception of seven) but not even remotely as nice.