44416944000 has 1024 divisors, whose sum is σ = 192471552000. Its totient is φ = 9925632000.

The previous prime is 44416943969. The next prime is 44416944001. The reversal of 44416944000 is 44961444.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (44416944001) 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 127 ways as a sum of consecutive naturals, for example, 61775641 + ... + 61776359.

It is an arithmetic number, because the mean of its divisors is an integer number (187960500).

Almost surely, 2^44416944000 is an apocalyptic number.

44416944000 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 44416944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96235776000).

44416944000 is an abundant number, since it is smaller than the sum of its proper divisors (148054608000).

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

44416944000 is a wasteful number, since it uses less digits than its factorization.

44416944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 44416944000 in words is "forty-four billion, four hundred sixteen million, nine hundred forty-four thousand".