4404400800 has 144 divisors (see below), whose sum is σ = 15179778432. Its totient is φ = 1105408000.

The previous prime is 4404400771. The next prime is 4404400837. The reversal of 4404400800 is 80044044.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13176 + ... + 94775.

It is an arithmetic number, because the mean of its divisors is an integer number (105415128).

Almost surely, 2^4404400800 is an apocalyptic number.

4404400800 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 4404400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7589889216).

4404400800 is an abundant number, since it is smaller than the sum of its proper divisors (10775377632).

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

4404400800 is a wasteful number, since it uses less digits than its factorization.

4404400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107991 (or 107978 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 4404400800 is about 66365.6597948065. The cubic root of 4404400800 is about 1639.1886726569.

Adding to 4404400800 its reverse (80044044), we get a palindrome (4484444844).

The spelling of 4404400800 in words is "four billion, four hundred four million, four hundred thousand, eight hundred".