4004405600 has 72 divisors (see below), whose sum is σ = 10527763680. Its totient is φ = 1478545920.

The previous prime is 4004405551. The next prime is 4004405611. The reversal of 4004405600 is 65044004.

It is a happy number.

4004405600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×4004405600² = 32070528418622720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182120 + ... + 202919.

It is an arithmetic number, because the mean of its divisors is an integer number (146218940).

Almost surely, 2^4004405600 is an apocalyptic number.

4004405600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004405600 is an abundant number, since it is smaller than the sum of its proper divisors (6523358080).

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

4004405600 is a wasteful number, since it uses less digits than its factorization.

4004405600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385072 (or 385059 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 4004405600 is about 63280.3729445394. The cubic root of 4004405600 is about 1587.9836259777.

Adding to 4004405600 its reverse (65044004), we get a palindrome (4069449604).

The spelling of 4004405600 in words is "four billion, four million, four hundred five thousand, six hundred".