404014420424013 has 32 divisors (see below), whose sum is σ = 651859353216000. Its totient is φ = 217283681821440.

The previous prime is 404014420423967. The next prime is 404014420424057. The reversal of 404014420424013 is 310424024410404.

It is not a de Polignac number, because 404014420424013 - 2⁹ = 404014420423501 is a prime.

It is a super-2 number, since 2×404014420424013² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404014420424413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53772598 + ... + 60823688.

It is an arithmetic number, because the mean of its divisors is an integer number (20370604788000).

Almost surely, 2^{404014420424013} is an apocalyptic number.

It is an amenable number.

404014420424013 is a deficient number, since it is larger than the sum of its proper divisors (247844932791987).

404014420424013 is a wasteful number, since it uses less digits than its factorization.

404014420424013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7211617.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 404014420424013 its reverse (310424024410404), we get a palindrome (714438444834417).

The spelling of 404014420424013 in words is "four hundred four trillion, fourteen billion, four hundred twenty million, four hundred twenty-four thousand, thirteen".