4044048800 has 144 divisors (see below), whose sum is σ = 10953986400. Its totient is φ = 1445452800.

The previous prime is 4044048781. The next prime is 4044048809. The reversal of 4044048800 is 88404404.

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 (4044048809) 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 23 ways as a sum of consecutive naturals, for example, 515306 + ... + 523094.

It is an arithmetic number, because the mean of its divisors is an integer number (76069350).

Almost surely, 2^4044048800 is an apocalyptic number.

4044048800 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 4044048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5476993200).

4044048800 is an abundant number, since it is smaller than the sum of its proper divisors (6909937600).

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

4044048800 is a wasteful number, since it uses less digits than its factorization.

4044048800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7879 (or 7866 counting only the distinct ones).

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

The square root of 4044048800 is about 63592.8360745139. The cubic root of 4044048800 is about 1593.2067187348.

The spelling of 4044048800 in words is "four billion, forty-four million, forty-eight thousand, eight hundred".