44116444800 has 384 divisors, whose sum is σ = 163885195200. Its totient is φ = 11587276800.

The previous prime is 44116444781. The next prime is 44116444807. The reversal of 44116444800 is 844461144.

44116444800 is a `hidden beast` number, since 4 + 4 + 1 + 1 + 644 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (44116444807) 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 47 ways as a sum of consecutive naturals, for example, 5784990 + ... + 5792610.

Almost surely, 2^44116444800 is an apocalyptic number.

44116444800 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 44116444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81942597600).

44116444800 is an abundant number, since it is smaller than the sum of its proper divisors (119768750400).

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

44116444800 is a wasteful number, since it uses less digits than its factorization.

44116444800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7721 (or 7698 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 44116444800 in words is "forty-four billion, one hundred sixteen million, four hundred forty-four thousand, eight hundred".