4002006002004 has 72 divisors (see below), whose sum is σ = 10157780182368. Its totient is φ = 1328524545600.

The previous prime is 4002006001993. The next prime is 4002006002041.

4002006002004 is a `hidden beast` number, since 40 + 0 + 2 + 0 + 0 + 600 + 20 + 0 + 4 = 666.

4002006002004 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 11827179 + ... + 12160845.

Almost surely, 2^{4002006002004} is an apocalyptic number.

It is an amenable number.

4002006002004 is an abundant number, since it is smaller than the sum of its proper divisors (6155774180364).

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

4002006002004 is a wasteful number, since it uses less digits than its factorization.

4002006002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335045 (or 335040 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The spelling of 4002006002004 in words is "four trillion, two billion, six million, two thousand, four", and thus it is an eban number.