Generator 41 for cyclic number.

The number 41 generates the cyclic number 02439.You will have surprises by multiplying this cyclic number with  numbers from 1 to 40.You will find 7 extra cyclic numbers,all of them multiples of 02439-so that all the 40 numbers from 1 to 40 are covered to show the cyclic nature.Details are as follows-
Multiplying the cyclic number with 1,10,18,16,and 37 {shown by me with the notation S(1),S(10),S(18),S(16) and S(37)}will give you 02439,24390,43902,39024 and 90243.
S(2) gives you 04878 and this is covered by S(2),S(20),S(36),S(32) and S(33) viz 04878,48780,87804,78048 and 80487.
Likewise-S(3)-07317,S(30)-73170,S(13)-31707,S(7)-17073 and S(29)-70731
S(4)-09756,S(40)-97560,S(31)-75609,S(23)-56097, and S(25)-60975.
S(5)-12195,S(9)-21951,S(8)-19512,S(39)-95121 and S(21)-51219
S(6)-14634,S(19)-46341,S(26)-63414,S(14)-34146 and S(17)-41463.
S(11)-26829,S(28)-68292,S(34)-82926,S(12)-29268 and S(38)-92682 and finally
S(15)-36585-S(27)-65853,S(24)-58536,S(35)-85365 and S(22)-53658.
Does this not appear amazing?