444122304416 has 48 divisors (see below), whose sum is σ = 999343852416. Its totient is φ = 190325051136.

The previous prime is 444122304389. The next prime is 444122304487. The reversal of 444122304416 is 614403221444.

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 7 ways as a sum of consecutive naturals, for example, 3651170 + ... + 3770846.

It is an arithmetic number, because the mean of its divisors is an integer number (20819663592).

Almost surely, 2^444122304416 is an apocalyptic number.

It is an amenable number.

444122304416 is an abundant number, since it is smaller than the sum of its proper divisors (555221548000).

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

444122304416 is a wasteful number, since it uses less digits than its factorization.

444122304416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136261 (or 136253 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 444122304416 in words is "four hundred forty-four billion, one hundred twenty-two million, three hundred four thousand, four hundred sixteen".