4004171808 has 144 divisors (see below), whose sum is σ = 13167766080. Its totient is φ = 1056029184.

The previous prime is 4004171771. The next prime is 4004171813. The reversal of 4004171808 is 8081714004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28413 + ... + 93891.

It is an arithmetic number, because the mean of its divisors is an integer number (91442820).

Almost surely, 2^4004171808 is an apocalyptic number.

4004171808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4004171808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6583883040).

4004171808 is an abundant number, since it is smaller than the sum of its proper divisors (9163594272).

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

4004171808 is a wasteful number, since it uses less digits than its factorization.

4004171808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65519 (or 65504 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 4004171808 is about 63278.5256465414. The cubic root of 4004171808 is about 1587.9527212584.

The spelling of 4004171808 in words is "four billion, four million, one hundred seventy-one thousand, eight hundred eight".