44125728998400 has 1485 divisors, whose sum is σ = 190357552002189. Its totient is φ = 10070576087040.

The previous prime is 44125728998387. The next prime is 44125728998411. The reversal of 44125728998400 is 489982752144.

The square root of 44125728998400 is 6642720.

It is a perfect power (a square), and thus also a powerful number.

44125728998400 is a `hidden beast` number, since 4 + 4 + 12 + 57 + 2 + 89 + 98 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15885262439424 + 28240466558976 = 3985632^2 + 5314176^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 66958617271 + ... + 66958617929.

Almost surely, 2^{44125728998400} is an apocalyptic number.

44125728998400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

44125728998400 is the 6642720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44125728998400

44125728998400 is an abundant number, since it is smaller than the sum of its proper divisors (146231823003789).

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

44125728998400 is an frugal number, since it uses more digits than its factorization.

44125728998400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 676 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 44125728998400 in words is "forty-four trillion, one hundred twenty-five billion, seven hundred twenty-eight million, nine hundred ninety-eight thousand, four hundred".