363406406404 has 12 divisors (see below), whose sum is σ = 636540946524. Its totient is φ = 181537564544.

The previous prime is 363406406387. The next prime is 363406406417. The reversal of 363406406404 is 404604604363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 221502009600 + 141904396804 = 470640^2 + 376702^2 .

It is a super-2 number, since 2×363406406404² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41404729 + ... + 41413504.

It is an arithmetic number, because the mean of its divisors is an integer number (53045078877).

Almost surely, 2^363406406404 is an apocalyptic number.

It is an amenable number.

363406406404 is a deficient number, since it is larger than the sum of its proper divisors (273134540120).

363406406404 is a wasteful number, since it uses less digits than its factorization.

363406406404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82819334 (or 82819332 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 40.

The spelling of 363406406404 in words is "three hundred sixty-three billion, four hundred six million, four hundred six thousand, four hundred four".