4004402400105 has 16 divisors (see below), whose sum is σ = 6413151628800. Its totient is φ = 2133645350528.

The previous prime is 4004402400077. The next prime is 4004402400109. The reversal of 4004402400105 is 5010042044004.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 4004402400105 - 2⁸ = 4004402399849 is a prime.

It is a super-2 number, since 2×4004402400105² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4004402400109) 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, 127229337 + ... + 127260806.

It is an arithmetic number, because the mean of its divisors is an integer number (400821976800).

Almost surely, 2^{4004402400105} is an apocalyptic number.

It is an amenable number.

4004402400105 is a deficient number, since it is larger than the sum of its proper divisors (2408749228695).

4004402400105 is a wasteful number, since it uses less digits than its factorization.

4004402400105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254491200.

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 4004402400105 its reverse (5010042044004), we get a palindrome (9014444444109).

The spelling of 4004402400105 in words is "four trillion, four billion, four hundred two million, four hundred thousand, one hundred five".