4444804400 has 30 divisors (see below), whose sum is σ = 10678643532. Its totient is φ = 1777921600.

The previous prime is 4444804379. The next prime is 4444804417. The reversal of 4444804400 is 44084444.

It is a super-3 number, since 3×4444804400³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5555606 + ... + 5556405.

Almost surely, 2^4444804400 is an apocalyptic number.

4444804400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4444804400 is an abundant number, since it is smaller than the sum of its proper divisors (6233839132).

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

4444804400 is a wasteful number, since it uses less digits than its factorization.

4444804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112029 (or 11112018 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

The square root of 4444804400 is about 66669.3662786740. The cubic root of 4444804400 is about 1644.1857680256.

Adding to 4444804400 its reverse (44084444), we get a palindrome (4488888844).

The spelling of 4444804400 in words is "four billion, four hundred forty-four million, eight hundred four thousand, four hundred".