44416172320 has 384 divisors, whose sum is σ = 124061414400. Its totient is φ = 14884466688.

The previous prime is 44416172303. The next prime is 44416172327. The reversal of 44416172320 is 2327161444.

It is not an unprimeable number, because it can be changed into a prime (44416172327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100262019 + ... + 100262461.

It is an arithmetic number, because the mean of its divisors is an integer number (323076600).

Almost surely, 2^44416172320 is an apocalyptic number.

44416172320 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 44416172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62030707200).

44416172320 is an abundant number, since it is smaller than the sum of its proper divisors (79645242080).

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

44416172320 is a wasteful number, since it uses less digits than its factorization.

44416172320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The spelling of 44416172320 in words is "forty-four billion, four hundred sixteen million, one hundred seventy-two thousand, three hundred twenty".