444634262436444 has 96 divisors (see below), whose sum is σ = 1088041990996800. Its totient is φ = 141169729978368.

The previous prime is 444634262436383. The next prime is 444634262436491.

It is a happy number.

444634262436444 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10475199 + ... + 31606934.

It is an arithmetic number, because the mean of its divisors is an integer number (11333770739550).

Almost surely, 2^{444634262436444} is an apocalyptic number.

It is an amenable number.

444634262436444 is an abundant number, since it is smaller than the sum of its proper divisors (643407728560356).

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

444634262436444 is a wasteful number, since it uses less digits than its factorization.

444634262436444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42082679 (or 42082677 counting only the distinct ones).

The product of its digits is 509607936, while the sum is 60.

The spelling of 444634262436444 in words is "four hundred forty-four trillion, six hundred thirty-four billion, two hundred sixty-two million, four hundred thirty-six thousand, four hundred forty-four".