400412242214004 has 96 divisors (see below), whose sum is σ = 1004195802322944. Its totient is φ = 123872836348800.

The previous prime is 400412242213993. The next prime is 400412242214041.

400412242214004 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 31 ways as a sum of consecutive naturals, for example, 109925859 + ... + 113509994.

It is an arithmetic number, because the mean of its divisors is an integer number (10460372940864).

Almost surely, 2^{400412242214004} is an apocalyptic number.

It is an amenable number.

400412242214004 is an abundant number, since it is smaller than the sum of its proper divisors (603783560108940).

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

400412242214004 is a wasteful number, since it uses less digits than its factorization.

400412242214004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223436077 (or 223436075 counting only the distinct ones).

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

The spelling of 400412242214004 in words is "four hundred trillion, four hundred twelve billion, two hundred forty-two million, two hundred fourteen thousand, four".