44112288960 has 280 divisors, whose sum is σ = 157160890656. Its totient is φ = 11744870400.

The previous prime is 44112288931. The next prime is 44112288973. The reversal of 44112288960 is 6988221144.

44112288960 is a `hidden beast` number, since 4 + 411 + 228 + 8 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27552160 + ... + 27553760.

Almost surely, 2^44112288960 is an apocalyptic number.

44112288960 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 44112288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78580445328).

44112288960 is an abundant number, since it is smaller than the sum of its proper divisors (113048601696).

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

44112288960 is a wasteful number, since it uses less digits than its factorization.

44112288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 44112288960 in words is "forty-four billion, one hundred twelve million, two hundred eighty-eight thousand, nine hundred sixty".