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40712555520 = 21032572131973
BaseRepresentation
bin100101111010101010…
…000100110000000000
310220002022212002220200
4211322222010300000
51131334403234040
630411511205200
72640616004100
oct457252046000
9126068762820
1040712555520
11162a21a35aa
127a82676800
133aba899750
141d83093200
1510d4339630
hex97aa84c00

40712555520 has 1584 divisors, whose sum is σ = 188571932640. Its totient is φ = 8026324992.

The previous prime is 40712555503. The next prime is 40712555549. The reversal of 40712555520 is 2555521704.

40712555520 is a `hidden beast` number, since 4 + 0 + 7 + 125 + 5 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 557706204 + ... + 557706276.

Almost surely, 240712555520 is an apocalyptic number.

40712555520 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 40712555520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94285966320).

40712555520 is an abundant number, since it is smaller than the sum of its proper divisors (147859377120).

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

40712555520 is a wasteful number, since it uses less digits than its factorization.

40712555520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

The spelling of 40712555520 in words is "forty billion, seven hundred twelve million, five hundred fifty-five thousand, five hundred twenty".