44315679384960 has 128 divisors (see below), whose sum is σ = 141259559247360. Its totient is φ = 11817235814400.

The previous prime is 44315679384959. The next prime is 44315679384967. The reversal of 44315679384960 is 6948397651344.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44315679384967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88744939 + ... + 89242901.

It is an arithmetic number, because the mean of its divisors is an integer number (1103590306620).

Almost surely, 2^{44315679384960} is an apocalyptic number.

44315679384960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44315679384960 is an abundant number, since it is smaller than the sum of its proper divisors (96943879862400).

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

44315679384960 is a wasteful number, since it uses less digits than its factorization.

44315679384960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544336 (or 544324 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 69.

The spelling of 44315679384960 in words is "forty-four trillion, three hundred fifteen billion, six hundred seventy-nine million, three hundred eighty-four thousand, nine hundred sixty".