400416614004 has 48 divisors (see below), whose sum is σ = 1021903626240. Its totient is φ = 121021542240.

The previous prime is 400416613999. The next prime is 400416614029.

400416614004 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, 3909574 + ... + 4010685.

It is an arithmetic number, because the mean of its divisors is an integer number (21289658880).

Almost surely, 2^400416614004 is an apocalyptic number.

400416614004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

400416614004 is an abundant number, since it is smaller than the sum of its proper divisors (621487012236).

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

400416614004 is a wasteful number, since it uses less digits than its factorization.

400416614004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7920660 (or 7920658 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 400416614004 in words is "four hundred billion, four hundred sixteen million, six hundred fourteen thousand, four".