411275220664464 has 120 divisors (see below), whose sum is σ = 1239653409907640. Its totient is φ = 126534420781056.

The previous prime is 411275220664459. The next prime is 411275220664499. The reversal of 411275220664464 is 464466022572114.

411275220664464 is a `hidden beast` number, since 4 + 1 + 12 + 7 + 522 + 0 + 6 + 6 + 44 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 337454104464 + 410937766560000 = 580908^2 + 20271600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 411275220664464.

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 23 ways as a sum of consecutive naturals, for example, 9846162 + ... + 30323214.

Almost surely, 2^{411275220664464} is an apocalyptic number.

It is an amenable number.

411275220664464 is an abundant number, since it is smaller than the sum of its proper divisors (828378189243176).

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

411275220664464 is a wasteful number, since it uses less digits than its factorization.

411275220664464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20487809 (or 20487800 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 411275220664464 in words is "four hundred eleven trillion, two hundred seventy-five billion, two hundred twenty million, six hundred sixty-four thousand, four hundred sixty-four".