4404400000 has 576 divisors, whose sum is σ = 14836862880. Its totient is φ = 1267200000.

The previous prime is 4404399977. The next prime is 4404400097. The reversal of 4404400000 is 44044.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 338799994 + ... + 338800006.

Almost surely, 2^4404400000 is an apocalyptic number.

4404400000 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 4404400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418431440).

4404400000 is an abundant number, since it is smaller than the sum of its proper divisors (10432462880).

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

4404400000 is an equidigital number, since it uses as much as digits as its factorization.

4404400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 4404400000 is about 66365.6537675928. The cubic root of 4404400000 is about 1639.1885734114.

Adding to 4404400000 its reverse (44044), we get a palindrome (4404444044).

4404400000 divided by its reverse (44044) gives a 5-th power (100000 = 10⁵).

It can be divided in two parts, 4404 and 400000, that added together give a palindrome (404404).

The spelling of 4404400000 in words is "four billion, four hundred four million, four hundred thousand".