4004002408 has 32 divisors (see below), whose sum is σ = 8856783360. Its totient is φ = 1660645440.

The previous prime is 4004002393. The next prime is 4004002423. The reversal of 4004002408 is 8042004004.

4004002408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4004002393) and next prime (4004002423).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1151491 + ... + 1154962.

It is an arithmetic number, because the mean of its divisors is an integer number (276774480).

Almost surely, 2^4004002408 is an apocalyptic number.

It is an amenable number.

4004002408 is an abundant number, since it is smaller than the sum of its proper divisors (4852780952).

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

4004002408 is a wasteful number, since it uses less digits than its factorization.

4004002408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2306497 (or 2306493 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

The square root of 4004002408 is about 63277.1871056228. The cubic root of 4004002408 is about 1587.9303276984.

The spelling of 4004002408 in words is "four billion, four million, two thousand, four hundred eight".