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40955720364 = 223313173168617
BaseRepresentation
bin100110001001001001…
…101011001010101100
310220201021102011101000
4212021021223022230
51132334131022424
630451555120300
72646630610356
oct461111531254
9126637364330
1040955720364
1116407488989
127b2bba3090
133b29087c80
141da74b00d6
1510ea86d3c9
hex98926b2ac

40955720364 has 96 divisors (see below), whose sum is σ = 115010965440. Its totient is φ = 12528843264.

The previous prime is 40955720363. The next prime is 40955720381. The reversal of 40955720364 is 46302755904.

40955720364 is a `hidden beast` number, since 40 + 9 + 5 + 572 + 0 + 36 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (40955720363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158584 + ... + 327200.

It is an arithmetic number, because the mean of its divisors is an integer number (1198030890).

Almost surely, 240955720364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40955720364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57505482720).

40955720364 is an abundant number, since it is smaller than the sum of its proper divisors (74055245076).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

40955720364 is a wasteful number, since it uses less digits than its factorization.

40955720364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168816 (or 168808 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 40955720364 in words is "forty billion, nine hundred fifty-five million, seven hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 173 234 346 351 468 519 692 702 1038 1404 1557 2076 2249 3114 4498 4671 6228 6747 8996 9342 13494 18684 20241 26988 40482 60723 80964 121446 168617 242892 337234 505851 674468 1011702 1517553 2023404 2192021 3035106 4384042 4552659 6070212 6576063 8768084 9105318 13152126 18210636 19728189 26304252 29170741 39456378 58341482 59184567 78912756 87512223 116682964 118369134 175024446 236738268 262536669 350048892 379219633 525073338 758439266 787610007 1050146676 1137658899 1516878532 1575220014 2275317798 3150440028 3412976697 4550635596 6825953394 10238930091 13651906788 20477860182 40955720364