40627712160 has 768 divisors, whose sum is σ = 176659660800. Its totient is φ = 8510054400.

The previous prime is 40627712119. The next prime is 40627712173. The reversal of 40627712160 is 6121772604.

40627712160 is a `hidden beast` number, since 4 + 0 + 627 + 7 + 1 + 21 + 6 + 0 = 666.

It is a super-2 number, since 2×40627712160² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17810220 + ... + 17812500.

It is an arithmetic number, because the mean of its divisors is an integer number (230025600).

Almost surely, 2^40627712160 is an apocalyptic number.

40627712160 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 40627712160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88329830400).

40627712160 is an abundant number, since it is smaller than the sum of its proper divisors (136031948640).

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

40627712160 is a wasteful number, since it uses less digits than its factorization.

40627712160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362 (or 2348 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 40627712160 in words is "forty billion, six hundred twenty-seven million, seven hundred twelve thousand, one hundred sixty".