40100432052013 has 16 divisors (see below), whose sum is σ = 40536390736512. Its totient is φ = 39665244520000.

The previous prime is 40100432052007. The next prime is 40100432052059. The reversal of 40100432052013 is 31025023400104.

40100432052013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-40100432052013 is a prime.

It is a super-2 number, since 2×40100432052013² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40100432059013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1605867618 + ... + 1605892588.

It is an arithmetic number, because the mean of its divisors is an integer number (2533524421032).

Almost surely, 2^{40100432052013} is an apocalyptic number.

It is an amenable number.

40100432052013 is a deficient number, since it is larger than the sum of its proper divisors (435958684499).

40100432052013 is a wasteful number, since it uses less digits than its factorization.

40100432052013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39716.

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 40100432052013 its reverse (31025023400104), we get a palindrome (71125455452117).

The spelling of 40100432052013 in words is "forty trillion, one hundred billion, four hundred thirty-two million, fifty-two thousand, thirteen".