44428756321440 has 144 divisors (see below), whose sum is σ = 154182845325600. Its totient is φ = 11646860391936.

The previous prime is 44428756321393. The next prime is 44428756321447. The reversal of 44428756321440 is 4412365782444.

44428756321440 is a `hidden beast` number, since 4 + 4 + 4 + 28 + 7 + 563 + 2 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (44428756321447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261383710 + ... + 261553629.

It is an arithmetic number, because the mean of its divisors is an integer number (1070714203650).

Almost surely, 2^{44428756321440} is an apocalyptic number.

44428756321440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

44428756321440 is an abundant number, since it is smaller than the sum of its proper divisors (109754089004160).

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

44428756321440 is a wasteful number, since it uses less digits than its factorization.

44428756321440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522937419 (or 522937408 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 54.

The spelling of 44428756321440 in words is "forty-four trillion, four hundred twenty-eight billion, seven hundred fifty-six million, three hundred twenty-one thousand, four hundred forty".