444221708160 has 128 divisors (see below), whose sum is σ = 1418348115360. Its totient is φ = 118259056640.

The previous prime is 444221708149. The next prime is 444221708179. The reversal of 444221708160 is 61807122444.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 943480 + ... + 1333640.

Almost surely, 2^444221708160 is an apocalyptic number.

444221708160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444221708160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709174057680).

444221708160 is an abundant number, since it is smaller than the sum of its proper divisors (974126407200).

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

444221708160 is a wasteful number, since it uses less digits than its factorization.

444221708160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390776 (or 390764 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 444221708160 in words is "four hundred forty-four billion, two hundred twenty-one million, seven hundred eight thousand, one hundred sixty".