5040315013032 has 640 divisors, whose sum is σ = 16720349184000. Its totient is φ = 1404601274880.

The previous prime is 5040315013007. The next prime is 5040315013067. The reversal of 5040315013032 is 2303105130405.

5040315013032 is a `hidden beast` number, since 5 + 0 + 40 + 315 + 0 + 1 + 303 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5040315012987 and 5040315013005.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 411817969 + ... + 411830207.

It is an arithmetic number, because the mean of its divisors is an integer number (26125545600).

Almost surely, 2^{5040315013032} is an apocalyptic number.

5040315013032 is a gapful number since it is divisible by the number (52) 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 5040315013032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8360174592000).

5040315013032 is an abundant number, since it is smaller than the sum of its proper divisors (11680034170968).

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

5040315013032 is a wasteful number, since it uses less digits than its factorization.

5040315013032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12403 (or 12390 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 5040315013032 in words is "five trillion, forty billion, three hundred fifteen million, thirteen thousand, thirty-two".