44980608960 has 560 divisors, whose sum is σ = 184046993856. Its totient is φ = 10214719488.

The previous prime is 44980608931. The next prime is 44980608979. The reversal of 44980608960 is 6980608944.

44980608960 is a `hidden beast` number, since 4 + 498 + 0 + 60 + 8 + 96 + 0 = 666.

44980608960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 44980608897 and 44980608906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31388404 + ... + 31389836.

Almost surely, 2^44980608960 is an apocalyptic number.

44980608960 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 44980608960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92023496928).

44980608960 is an abundant number, since it is smaller than the sum of its proper divisors (139066384896).

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

44980608960 is a wasteful number, since it uses less digits than its factorization.

44980608960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 44980608960 in words is "forty-four billion, nine hundred eighty million, six hundred eight thousand, nine hundred sixty".