44048000800 has 72 divisors (see below), whose sum is σ = 107594488512. Its totient is φ = 17608992000.

The previous prime is 44048000729. The next prime is 44048000837. The reversal of 44048000800 is 800084044.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1449765 + ... + 1479835.

It is an arithmetic number, because the mean of its divisors is an integer number (1494367896).

Almost surely, 2^44048000800 is an apocalyptic number.

44048000800 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 44048000800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53797244256).

44048000800 is an abundant number, since it is smaller than the sum of its proper divisors (63546487712).

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

44048000800 is a wasteful number, since it uses less digits than its factorization.

44048000800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31922 (or 31909 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

Adding to 44048000800 its reverse (800084044), we get a palindrome (44848084844).

The spelling of 44048000800 in words is "forty-four billion, forty-eight million, eight hundred", and thus it is an aban number.