400414202414004 has 48 divisors (see below), whose sum is σ = 943749667929600. Its totient is φ = 132121978934400.

The previous prime is 400414202413997. The next prime is 400414202414027.

400414202414004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29164804 + ... + 40637595.

It is an arithmetic number, because the mean of its divisors is an integer number (19661451415200).

Almost surely, 2^{400414202414004} is an apocalyptic number.

It is an amenable number.

400414202414004 is an abundant number, since it is smaller than the sum of its proper divisors (543335465515596).

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

400414202414004 is a wasteful number, since it uses less digits than its factorization.

400414202414004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69807240 (or 69807238 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 40041420 and 2414004, that added together give a palindrome (42455424).

The spelling of 400414202414004 in words is "four hundred trillion, four hundred fourteen billion, two hundred two million, four hundred fourteen thousand, four".