4004808800 has 36 divisors (see below), whose sum is σ = 9776741436. Its totient is φ = 1601923200.

The previous prime is 4004808793. The next prime is 4004808823. The reversal of 4004808800 is 88084004.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 2502206 + ... + 2503805.

It is an arithmetic number, because the mean of its divisors is an integer number (271576151).

Almost surely, 2^4004808800 is an apocalyptic number.

4004808800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4004808800 is an abundant number, since it is smaller than the sum of its proper divisors (5771932636).

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

4004808800 is a wasteful number, since it uses less digits than its factorization.

4004808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006031 (or 5006018 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4004808800 is about 63283.5586862812. The cubic root of 4004808800 is about 1588.0369217369.

The spelling of 4004808800 in words is "four billion, four million, eight hundred eight thousand, eight hundred".