44385856416 has 240 divisors, whose sum is σ = 143745386400. Its totient is φ = 13323640320.

The previous prime is 44385856369. The next prime is 44385856429. The reversal of 44385856416 is 61465858344.

44385856416 is a `hidden beast` number, since 4 + 43 + 8 + 585 + 6 + 4 + 16 = 666.

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

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 3043510 + ... + 3058058.

It is an arithmetic number, because the mean of its divisors is an integer number (598939110).

Almost surely, 2^44385856416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 44385856416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71872693200).

44385856416 is an abundant number, since it is smaller than the sum of its proper divisors (99359529984).

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

44385856416 is a wasteful number, since it uses less digits than its factorization.

44385856416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689 (or 14672 counting only the distinct ones).

The product of its digits is 11059200, while the sum is 54.

The spelling of 44385856416 in words is "forty-four billion, three hundred eighty-five million, eight hundred fifty-six thousand, four hundred sixteen".