4004304103331 has 16 divisors (see below), whose sum is σ = 4749086946240. Its totient is φ = 3303452826240.

The previous prime is 4004304103249. The next prime is 4004304103367. The reversal of 4004304103331 is 1333014034004.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-4004304103331 is a prime.

It is a super-2 number, since 2×4004304103331² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4004304103331.

It is not an unprimeable number, because it can be changed into a prime (4004304103391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31048640 + ... + 31177341.

It is an arithmetic number, because the mean of its divisors is an integer number (296817934140).

Almost surely, 2^{4004304103331} is an apocalyptic number.

4004304103331 is a deficient number, since it is larger than the sum of its proper divisors (744782842909).

4004304103331 is a wasteful number, since it uses less digits than its factorization.

4004304103331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62226334.

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 4004304103331 its reverse (1333014034004), we get a palindrome (5337318137335).

The spelling of 4004304103331 in words is "four trillion, four billion, three hundred four million, one hundred three thousand, three hundred thirty-one".