Have you ever wondered why we put the comma every third position? If you'll notice, it makes reading the numbers much easier. Such is not the case in Japanese, though. Even though the Japanese themselves don't do this, you'll find it much much easier to read numbers in Japanese if you put the comma every FOURTH position. Why? Because of the "man" (10,000) unit.
00,0001,0000 = ichi man
00,0010,0000 = juu man
00,0100,0000 = hyaku man
00,1000,0000 = issen man
01,0000,0000 = ichi oku
10,0000,0000 = juu oku
etc. etc.
When faced with a tough number, just rewrite the commas and you'll find it much easier to read.
I used to try this with my students when I taught Engish. I would write some long number like 145,657,985,274 and ask them to read it. Almost without exception they put their finger on the "7" in the millions place and started counting positions to the left, muttering "hyaku man, senman, oku, juu oku....." until they reached the first digit. Only then did they know where they were starting from.
Then I erased the commas and rewrote them every fourth position:
1456,5798,5274
and pointed out that groupings betweeen commas now reflected the way numbers are organized in Japanese usage. After that, everyone was able to effortlessly fly through reading off large numbers.