44540928000 has 672 divisors, whose sum is σ = 167452608960. Its totient is φ = 11811225600.

The previous prime is 44540927989. The next prime is 44540928023. The reversal of 44540928000 is 82904544.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 248831911 + ... + 248832089.

It is an arithmetic number, because the mean of its divisors is an integer number (249185430).

Almost surely, 2^44540928000 is an apocalyptic number.

44540928000 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 44540928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83726304480).

44540928000 is an abundant number, since it is smaller than the sum of its proper divisors (122911680960).

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

44540928000 is an frugal number, since it uses more digits than its factorization.

44540928000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 44540928000 in words is "forty-four billion, five hundred forty million, nine hundred twenty-eight thousand".