444660320364 has 144 divisors (see below), whose sum is σ = 1187948160000. Its totient is φ = 129033844992.

The previous prime is 444660320339. The next prime is 444660320437. The reversal of 444660320364 is 463023066444.

It is a super-2 number, since 2×444660320364² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8566762 + ... + 8618510.

It is an arithmetic number, because the mean of its divisors is an integer number (8249640000).

Almost surely, 2^444660320364 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 444660320364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593974080000).

444660320364 is an abundant number, since it is smaller than the sum of its proper divisors (743287839636).

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

444660320364 is a wasteful number, since it uses less digits than its factorization.

444660320364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52024 (or 52009 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 42.

The spelling of 444660320364 in words is "four hundred forty-four billion, six hundred sixty million, three hundred twenty thousand, three hundred sixty-four".