440556543400464 has 80 divisors (see below), whose sum is σ = 1264661314382400. Its totient is φ = 146840467693824.

The previous prime is 440556543400453. The next prime is 440556543400481. The reversal of 440556543400464 is 464004345655044.

440556543400464 is a `hidden beast` number, since 4 + 4 + 0 + 5 + 56 + 543 + 4 + 0 + 0 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 440556543400464.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35248549 + ... + 46082244.

It is an arithmetic number, because the mean of its divisors is an integer number (15808266429780).

Almost surely, 2^{440556543400464} is an apocalyptic number.

It is an amenable number.

440556543400464 is an abundant number, since it is smaller than the sum of its proper divisors (824104770981936).

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

440556543400464 is a wasteful number, since it uses less digits than its factorization.

440556543400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81343349 (or 81343337 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 54.

The spelling of 440556543400464 in words is "four hundred forty trillion, five hundred fifty-six billion, five hundred forty-three million, four hundred thousand, four hundred sixty-four".