44866128960 has 448 divisors, whose sum is σ = 163450828800. Its totient is φ = 11576991744.

The previous prime is 44866128943. The next prime is 44866129051. The reversal of 44866128960 is 6982166844.

44866128960 is a `hidden beast` number, since 448 + 6 + 61 + 2 + 89 + 60 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 44866128897 and 44866128906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93666001 + ... + 93666479.

It is an arithmetic number, because the mean of its divisors is an integer number (364845600).

Almost surely, 2^44866128960 is an apocalyptic number.

44866128960 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 44866128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81725414400).

44866128960 is an abundant number, since it is smaller than the sum of its proper divisors (118584699840).

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

44866128960 is a wasteful number, since it uses less digits than its factorization.

44866128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 44866128960 in words is "forty-four billion, eight hundred sixty-six million, one hundred twenty-eight thousand, nine hundred sixty".