44994216960 has 880 divisors, whose sum is σ = 201161473920. Its totient is φ = 9342812160.

The previous prime is 44994216937. The next prime is 44994217027. The reversal of 44994216960 is 6961249944.

It is a happy number.

44994216960 is a `hidden beast` number, since 44 + 99 + 421 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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 = 44994216897 and 44994216906.

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, 31932736 + ... + 31934144.

It is an arithmetic number, because the mean of its divisors is an integer number (228592584).

Almost surely, 2^44994216960 is an apocalyptic number.

44994216960 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 44994216960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100580736960).

44994216960 is an abundant number, since it is smaller than the sum of its proper divisors (156167256960).

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

44994216960 is a wasteful number, since it uses less digits than its factorization.

44994216960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 44994216960 in words is "forty-four billion, nine hundred ninety-four million, two hundred sixteen thousand, nine hundred sixty".