416090490566464 has 56 divisors (see below), whose sum is σ = 999141661189440. Its totient is φ = 167834819721216.

The previous prime is 416090490566449. The next prime is 416090490566521. The reversal of 416090490566464 is 464665094090614.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a junction number, because it is equal to n+sod(n) for n = 416090490566396 and 416090490566405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27316857574 + ... + 27316872805.

Almost surely, 2^{416090490566464} is an apocalyptic number.

It is an amenable number.

416090490566464 is an abundant number, since it is smaller than the sum of its proper divisors (583051170622976).

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

416090490566464 is a wasteful number, since it uses less digits than its factorization.

416090490566464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54633730415 (or 54633730405 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 64.

The spelling of 416090490566464 in words is "four hundred sixteen trillion, ninety billion, four hundred ninety million, five hundred sixty-six thousand, four hundred sixty-four".