44040048800 has 144 divisors (see below), whose sum is σ = 117444170592. Its totient is φ = 15993062400.

The previous prime is 44040048797. The next prime is 44040048809. The reversal of 44040048800 is 884004044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (44040048809) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7503467 + ... + 7509333.

It is an arithmetic number, because the mean of its divisors is an integer number (815584518).

Almost surely, 2^44040048800 is an apocalyptic number.

44040048800 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 44040048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58722085296).

44040048800 is an abundant number, since it is smaller than the sum of its proper divisors (73404121792).

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

44040048800 is a wasteful number, since it uses less digits than its factorization.

44040048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6751 (or 6738 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 32.

The spelling of 44040048800 in words is "forty-four billion, forty million, forty-eight thousand, eight hundred".