44729112960 has 864 divisors, whose sum is σ = 190058497200. Its totient is φ = 9663639552.

The previous prime is 44729112959. The next prime is 44729112971. The reversal of 44729112960 is 6921192744.

44729112960 is a `hidden beast` number, since 4 + 472 + 9 + 112 + 9 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 101888421 + ... + 101888859.

Almost surely, 2^44729112960 is an apocalyptic number.

44729112960 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 44729112960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95029248600).

44729112960 is an abundant number, since it is smaller than the sum of its proper divisors (145329384240).

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

44729112960 is a wasteful number, since it uses less digits than its factorization.

44729112960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 44729112960 in words is "forty-four billion, seven hundred twenty-nine million, one hundred twelve thousand, nine hundred sixty".