4002000002004 has 12 divisors (see below), whose sum is σ = 9338000004704. Its totient is φ = 1334000000664.

The previous prime is 4002000001933. The next prime is 4002000002009.

4002000002004 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 333500000167 = 4002000002004 / (4 + 0 + 0 + 2 + 0 + 0 + 0 + 0 + 0 + 2 + 0 + 0 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002000002009) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 166750000072 + ... + 166750000095.

Almost surely, 2^{4002000002004} is an apocalyptic number.

It is an amenable number.

4002000002004 is an abundant number, since it is smaller than the sum of its proper divisors (5336000002700).

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

4002000002004 is a wasteful number, since it uses less digits than its factorization.

4002000002004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333500000174 (or 333500000172 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

It can be divided in two parts, 400200000 and 2004, that added together give a palindrome (400202004).

The spelling of 4002000002004 in words is "four trillion, two billion, two thousand, four", and thus it is an eban number.