40584327631056 has 120 divisors (see below), whose sum is σ = 124006005920160. Its totient is φ = 12288273772800.

The previous prime is 40584327631051. The next prime is 40584327631061. The reversal of 40584327631056 is 65013672348504.

40584327631056 is a `hidden beast` number, since 4 + 0 + 5 + 8 + 4 + 3 + 276 + 310 + 56 = 666.

It is an interprime number because it is at equal distance from previous prime (40584327631051) and next prime (40584327631061).

It is a junction number, because it is equal to n+sod(n) for n = 40584327630993 and 40584327631011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40584327631051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8476950 + ... + 12370421.

It is an arithmetic number, because the mean of its divisors is an integer number (1033383382668).

Almost surely, 2^{40584327631056} is an apocalyptic number.

It is an amenable number.

40584327631056 is an abundant number, since it is smaller than the sum of its proper divisors (83421678289104).

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

40584327631056 is a wasteful number, since it uses less digits than its factorization.

40584327631056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20848625 (or 20848616 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 40584327631056 in words is "forty trillion, five hundred eighty-four billion, three hundred twenty-seven million, six hundred thirty-one thousand, fifty-six".