4004404105 has 16 divisors (see below), whose sum is σ = 5176410624. Its totient is φ = 2956248000.

The previous prime is 4004404067. The next prime is 4004404133. The reversal of 4004404105 is 5014044004.

It is a de Polignac number, because none of the positive numbers 2^k-4004404105 is a prime.

It is a super-2 number, since 2×4004404105² = 32070504472281702050, which contains 22 as substring.

It is a Duffinian number.

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 15 ways as a sum of consecutive naturals, for example, 302332 + ... + 315298.

It is an arithmetic number, because the mean of its divisors is an integer number (323525664).

Almost surely, 2^4004404105 is an apocalyptic number.

It is an amenable number.

4004404105 is a deficient number, since it is larger than the sum of its proper divisors (1172006519).

4004404105 is a wasteful number, since it uses less digits than its factorization.

4004404105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17736.

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 4004404105 is about 63280.3611320289. The cubic root of 4004404105 is about 1587.9834283591.

Adding to 4004404105 its reverse (5014044004), we get a palindrome (9018448109).

The spelling of 4004404105 in words is "four billion, four million, four hundred four thousand, one hundred five".