405442343244504 has 64 divisors (see below), whose sum is σ = 1020516672146400. Its totient is φ = 134228383801344.

The previous prime is 405442343244457. The next prime is 405442343244583.

It is a happy number.

405442343244504 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, 71581699 + ... + 77037810.

Almost surely, 2^{405442343244504} is an apocalyptic number.

It is an amenable number.

405442343244504 is an abundant number, since it is smaller than the sum of its proper divisors (615074328901896).

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

405442343244504 is a wasteful number, since it uses less digits than its factorization.

405442343244504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148620292 (or 148620288 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 48.

The spelling of 405442343244504 in words is "four hundred five trillion, four hundred forty-two billion, three hundred forty-three million, two hundred forty-four thousand, five hundred four".