4044990400 has 168 divisors, whose sum is σ = 10907694720. Its totient is φ = 1464192000.

The previous prime is 4044990379. The next prime is 4044990401. The reversal of 4044990400 is 40994404.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4044990401) 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, 5473231 + ... + 5473969.

Almost surely, 2^4044990400 is an apocalyptic number.

4044990400 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 4044990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453847360).

4044990400 is an abundant number, since it is smaller than the sum of its proper divisors (6862704320).

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

4044990400 is a wasteful number, since it uses less digits than its factorization.

4044990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 4044990400 is about 63600.2389932617. The cubic root of 4044990400 is about 1593.3303610798.

The spelling of 4044990400 in words is "four billion, forty-four million, nine hundred ninety thousand, four hundred".