4004460642 has 64 divisors (see below), whose sum is σ = 10123593984. Its totient is φ = 1027572480.

The previous prime is 4004460631. The next prime is 4004460671. The reversal of 4004460642 is 2460644004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78909 + ... + 119312.

It is an arithmetic number, because the mean of its divisors is an integer number (158181156).

Almost surely, 2^4004460642 is an apocalyptic number.

4004460642 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

4004460642 is an abundant number, since it is smaller than the sum of its proper divisors (6119133342).

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

4004460642 is a wasteful number, since it uses less digits than its factorization.

4004460642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198283.

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 4004460642 is about 63280.8078488257. The cubic root of 4004460642 is about 1587.9909017471.

The spelling of 4004460642 in words is "four billion, four million, four hundred sixty thousand, six hundred forty-two".