4000204004 has 12 divisors (see below), whose sum is σ = 7002229164. Its totient is φ = 1999567104.

The previous prime is 4000204003. The next prime is 4000204127. The reversal of 4000204004 is 4004020004.

It can be written as a sum of positive squares in 2 ways, for example, as 547466404 + 3452737600 = 23398^2 + 58760^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4000204004.

It is not an unprimeable number, because it can be changed into a prime (4000204003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 116657 + ... + 147000.

It is an arithmetic number, because the mean of its divisors is an integer number (583519097).

Almost surely, 2^4000204004 is an apocalyptic number.

It is an amenable number.

4000204004 is a deficient number, since it is larger than the sum of its proper divisors (3002025160).

4000204004 is a wasteful number, since it uses less digits than its factorization.

4000204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267454 (or 267452 counting only the distinct ones).

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

The square root of 4000204004 is about 63247.1659760341. The cubic root of 4000204004 is about 1587.4280378565.

Adding to 4000204004 its reverse (4004020004), we get a palindrome (8004224008).

The spelling of 4000204004 in words is "four billion, two hundred four thousand, four".