444096616960 has 60 divisors (see below), whose sum is σ = 1064871878994. Its totient is φ = 177625159680.

The previous prime is 444096616939. The next prime is 444096616979. The reversal of 444096616960 is 69616690444.

It can be written as a sum of positive squares in only one way, i.e., 399686955264 + 44409661696 = 632208^2 + 210736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 33711175 + ... + 33724345.

Almost surely, 2^444096616960 is an apocalyptic number.

444096616960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444096616960 is an abundant number, since it is smaller than the sum of its proper divisors (620775262034).

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

444096616960 is an frugal number, since it uses more digits than its factorization.

444096616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26365 (or 13178 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 55.

The spelling of 444096616960 in words is "four hundred forty-four billion, ninety-six million, six hundred sixteen thousand, nine hundred sixty".