44425728000 has 624 divisors, whose sum is σ = 165847698432. Its totient is φ = 11427840000.

The previous prime is 44425727977. The next prime is 44425728037. The reversal of 44425728000 is 82752444.

44425728000 is a `hidden beast` number, since 4 + 4 + 4 + 2 + 572 + 80 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142847845 + ... + 142848155.

It is an arithmetic number, because the mean of its divisors is an integer number (265781568).

Almost surely, 2^44425728000 is an apocalyptic number.

44425728000 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 44425728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82923849216).

44425728000 is an abundant number, since it is smaller than the sum of its proper divisors (121421970432).

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

44425728000 is a wasteful number, since it uses less digits than its factorization.

44425728000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The spelling of 44425728000 in words is "forty-four billion, four hundred twenty-five million, seven hundred twenty-eight thousand".