4004168000 has 112 divisors (see below), whose sum is σ = 11333097984. Its totient is φ = 1372838400.

The previous prime is 4004167963. The next prime is 4004168023. The reversal of 4004168000 is 8614004.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4004168000² = 32066722744448000000, 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 15 ways as a sum of consecutive naturals, for example, 20249 + ... + 91751.

Almost surely, 2^4004168000 is an apocalyptic number.

4004168000 is a gapful number since it is divisible by the number (40) 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 4004168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5666548992).

4004168000 is an abundant number, since it is smaller than the sum of its proper divisors (7328929984).

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

4004168000 is an equidigital number, since it uses as much as digits as its factorization.

4004168000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71537 (or 71517 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 4004168000 is about 63278.4955573376. The cubic root of 4004168000 is about 1587.9522178729.

The spelling of 4004168000 in words is "four billion, four million, one hundred sixty-eight thousand".