405322216021656 has 120 divisors (see below), whose sum is σ = 1149120353761380. Its totient is φ = 133479603806112.

The previous prime is 405322216021607. The next prime is 405322216021661. The reversal of 405322216021656 is 656120612223504.

405322216021656 is a `hidden beast` number, since 4 + 0 + 5 + 3 + 2 + 2 + 21 + 602 + 16 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 40934190 + ... + 49862333.

Almost surely, 2^{405322216021656} is an apocalyptic number.

It is an amenable number.

405322216021656 is an abundant number, since it is smaller than the sum of its proper divisors (743798137739724).

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

405322216021656 is an equidigital number, since it uses as much as digits as its factorization.

405322216021656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90796707 (or 90796611 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 405322216021656 in words is "four hundred five trillion, three hundred twenty-two billion, two hundred sixteen million, twenty-one thousand, six hundred fifty-six".