40456165560 has 256 divisors, whose sum is σ = 132851404800. Its totient is φ = 9825564672.

The previous prime is 40456165559. The next prime is 40456165573. The reversal of 40456165560 is 6556165404.

It is a super-2 number, since 2×40456165560² (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 63 ways as a sum of consecutive naturals, for example, 4795426 + ... + 4803854.

It is an arithmetic number, because the mean of its divisors is an integer number (518950800).

Almost surely, 2^40456165560 is an apocalyptic number.

40456165560 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 40456165560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66425702400).

40456165560 is an abundant number, since it is smaller than the sum of its proper divisors (92395239240).

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

40456165560 is a wasteful number, since it uses less digits than its factorization.

40456165560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8550 (or 8546 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 40456165560 in words is "forty billion, four hundred fifty-six million, one hundred sixty-five thousand, five hundred sixty".