4004002004004 has 36 divisors (see below), whose sum is σ = 10146467292780. Its totient is φ = 1331338982400.

The previous prime is 4004002003961. The next prime is 4004002004017.

It is a happy number.

4004002004004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 3963762446400 + 40239557604 = 1990920^2 + 200598^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 138666709 + ... + 138695580.

Almost surely, 2^{4004002004004} is an apocalyptic number.

It is an amenable number.

4004002004004 is an abundant number, since it is smaller than the sum of its proper divisors (6142465288776).

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

4004002004004 is a wasteful number, since it uses less digits than its factorization.

4004002004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277362700 (or 277362695 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The spelling of 4004002004004 in words is "four trillion, four billion, two million, four thousand, four", and thus it is an eban number.