444304710464 has 56 divisors (see below), whose sum is σ = 900615480960. Its totient is φ = 217379966976.

The previous prime is 444304710457. The next prime is 444304710469. The reversal of 444304710464 is 464017403444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444304710469) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17605247 + ... + 17630465.

Almost surely, 2^444304710464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444304710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450307740480).

444304710464 is an abundant number, since it is smaller than the sum of its proper divisors (456310770496).

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

444304710464 is a wasteful number, since it uses less digits than its factorization.

444304710464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31135 (or 31125 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 41.

The spelling of 444304710464 in words is "four hundred forty-four billion, three hundred four million, seven hundred ten thousand, four hundred sixty-four".