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40125235040 = 2551180928181
BaseRepresentation
bin100101010111101001…
…100111111101100000
310211120101201010200022
4211113221213331200
51124134030010130
630233331013012
72620224604352
oct452751477540
9124511633608
1040125235040
1116020715a80
127939a3a168
133a25cc0237
141d2908b0d2
15109c9c37e5
hex957a67f60

40125235040 has 96 divisors (see below), whose sum is σ = 103545177120. Its totient is φ = 14572441600.

The previous prime is 40125235039. The next prime is 40125235057. The reversal of 40125235040 is 4053252104.

It is a happy number.

It is a super-2 number, since 2×401252350402 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1409750 + ... + 1437930.

It is an arithmetic number, because the mean of its divisors is an integer number (1078595595).

Almost surely, 240125235040 is an apocalyptic number.

40125235040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40125235040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51772588560).

40125235040 is an abundant number, since it is smaller than the sum of its proper divisors (63419942080).

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

40125235040 is a wasteful number, since it uses less digits than its factorization.

40125235040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29016 (or 29008 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

Adding to 40125235040 its reverse (4053252104), we get a palindrome (44178487144).

The spelling of 40125235040 in words is "forty billion, one hundred twenty-five million, two hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 809 880 1618 1760 3236 4045 6472 8090 8899 12944 16180 17798 25888 28181 32360 35596 44495 56362 64720 71192 88990 112724 129440 140905 142384 177980 225448 281810 284768 309991 355960 450896 563620 619982 711920 901792 1127240 1239964 1423840 1549955 2254480 2479928 3099910 4508960 4959856 6199820 9919712 12399640 22798429 24799280 45596858 49598560 91193716 113992145 182387432 227984290 250782719 364774864 455968580 501565438 729549728 911937160 1003130876 1253913595 1823874320 2006261752 2507827190 3647748640 4012523504 5015654380 8025047008 10031308760 20062617520 40125235040