44197816320 has 768 divisors, whose sum is σ = 184263206400. Its totient is φ = 9838264320.

The previous prime is 44197816309. The next prime is 44197816331. The reversal of 44197816320 is 2361879144.

44197816320 is a `hidden beast` number, since 4 + 4 + 1 + 9 + 7 + 8 + 1 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (44197816309) and next prime (44197816331).

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79349482 + ... + 79350038.

It is an arithmetic number, because the mean of its divisors is an integer number (239926050).

Almost surely, 2^44197816320 is an apocalyptic number.

44197816320 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 44197816320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92131603200).

44197816320 is an abundant number, since it is smaller than the sum of its proper divisors (140065390080).

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

44197816320 is a wasteful number, since it uses less digits than its factorization.

44197816320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 44197816320 in words is "forty-four billion, one hundred ninety-seven million, eight hundred sixteen thousand, three hundred twenty".