44028093052944 has 1920 divisors, whose sum is σ = 178728560640000. Its totient is φ = 10017901670400.

The previous prime is 44028093052943. The next prime is 44028093052991. The reversal of 44028093052944 is 44925039082044.

44028093052944 is a `hidden beast` number, since 4 + 4 + 0 + 2 + 80 + 9 + 30 + 529 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (44028093052943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 22025058057 + ... + 22025060055.

It is an arithmetic number, because the mean of its divisors is an integer number (93087792000).

Almost surely, 2^{44028093052944} is an apocalyptic number.

44028093052944 is a gapful number since it is divisible by the number (44) 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 44028093052944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89364280320000).

44028093052944 is an abundant number, since it is smaller than the sum of its proper divisors (134700467587056).

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

44028093052944 is a wasteful number, since it uses less digits than its factorization.

44028093052944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2162 (or 2119 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 44028093052944 in words is "forty-four trillion, twenty-eight billion, ninety-three million, fifty-two thousand, nine hundred forty-four".