400413314004 has 24 divisors (see below), whose sum is σ = 1019233890528. Its totient is φ = 121337367840.

The previous prime is 400413313991. The next prime is 400413314023.

400413314004 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1516716967 + ... + 1516717230.

It is an arithmetic number, because the mean of its divisors is an integer number (42468078772).

Almost surely, 2^400413314004 is an apocalyptic number.

400413314004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400413314004 is an abundant number, since it is smaller than the sum of its proper divisors (618820576524).

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

400413314004 is a wasteful number, since it uses less digits than its factorization.

400413314004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033434215 (or 3033434213 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 400413 and 314004, that added together give a palindrome (714417).

The spelling of 400413314004 in words is "four hundred billion, four hundred thirteen million, three hundred fourteen thousand, four".