406355944053360 has 160 divisors (see below), whose sum is σ = 1439803083704832. Its totient is φ = 92872195752960.

The previous prime is 406355944053359. The next prime is 406355944053377. The reversal of 406355944053360 is 63350449553604.

It is a self number, because there is not a number n which added to its sum of digits gives 406355944053360.

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 31 ways as a sum of consecutive naturals, for example, 5111107 + ... + 28962653.

Almost surely, 2^{406355944053360} is an apocalyptic number.

406355944053360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406355944053360 is an abundant number, since it is smaller than the sum of its proper divisors (1033447139651472).

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

406355944053360 is a wasteful number, since it uses less digits than its factorization.

406355944053360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23861711 (or 23861705 counting only the distinct ones).

The product of its (nonzero) digits is 69984000, while the sum is 57.

The spelling of 406355944053360 in words is "four hundred six trillion, three hundred fifty-five billion, nine hundred forty-four million, fifty-three thousand, three hundred sixty".