4002006176 has 96 divisors (see below), whose sum is σ = 10036172160. Its totient is φ = 1529266176.

The previous prime is 4002006139. The next prime is 4002006191. The reversal of 4002006176 is 6716002004.

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, 44696 + ... + 100008.

It is an arithmetic number, because the mean of its divisors is an integer number (104543460).

Almost surely, 2^4002006176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4002006176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5018086080).

4002006176 is an abundant number, since it is smaller than the sum of its proper divisors (6034165984).

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

4002006176 is a wasteful number, since it uses less digits than its factorization.

4002006176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55366 (or 55358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 4002006176 is about 63261.4114290853. The cubic root of 4002006176 is about 1587.6663914377. Note that the first 3 decimals are identical.

The spelling of 4002006176 in words is "four billion, two million, six thousand, one hundred seventy-six".