4002002002004 has 24 divisors (see below), whose sum is σ = 7372256522400. Its totient is φ = 1895647212000.

The previous prime is 4002002002001. The next prime is 4002002002021.

It is a happy number.

4002002002004 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 4002002002004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002002002001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3495254 + ... + 4496754.

It is an arithmetic number, because the mean of its divisors is an integer number (307177355100).

Almost surely, 2^{4002002002004} is an apocalyptic number.

It is an amenable number.

4002002002004 is a deficient number, since it is larger than the sum of its proper divisors (3370254520396).

4002002002004 is a wasteful number, since it uses less digits than its factorization.

4002002002004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054103 (or 1054101 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The spelling of 4002002002004 in words is "four trillion, two billion, two million, two thousand, four", and thus it is an eban number.