Greatest fractional coin to standard monetary unit

Continuing the theme of numbers started by Neilithic, I have thought of another one to get the brain cells moving this weekend.
As most countries are now using the decimal system, 100 pennies = £1.00, 100 cents= $1.00, I was thinking of a system which went beyond to 100-1 scale, and it did not take me very long.
Within the United Kingdom, prior to our present decimal system we had a very nice system, (showing my age now), where we had 240 pennies to 1 pound, but we had fraction even of that. 480 halfpennies to 1 pound, and it continues as below.


960 farthings to 1 pound (mine is 1956)


1920 half-farthings (mine is 1844)


2880 third-farthing (mine is 1913)


3840 quarter-farthing (mine is 1852)

Is these any monetary system where the fractional coin is greater than the quarter farthing to the pound?

Sure - where the standard unit was gold, and coins included small copper.

Examples include:
- Ottoman Empire 1 para = 1/4000 lira
- early Byzantium 1 pentanummium = 1/2304 solidus (and 1 nummus = 1/11520 solidus, but those are rare and none are listed on Numista yet)
- Madras (British India) 1 cash = 1/2880 pagoda

There was also the 16th century Russian case, where the "standard" unit was the ruble = 100 kopek (never actually minted at the time, in any metal), and a pulo was worth an uncertain small fraction of a kopek (Numista uses 1/120, which is IIRC a bit on the low side but plausible).

Egypt in 1916-38 managed to fit a tiny fraction into a decimal system (the 1/2 millieme = 1/2000 pound).

I could probably try to post a pentanummium or a pulo if you want (I have examples of both, and a photo of the former). Don't have any of the others, sorry.

I'd like to see them.

Thailand Baht was divided to around 6400 cowry shells (called 'Bia') until the cowry shells were demonetized.

The exchange rate between the cowry shells and silver is not pegged. Sometimes they could be as much as 8000 cowry shells per one Baht.