444040042113 has 24 divisors (see below), whose sum is σ = 643786846560. Its totient is φ = 294921372480.

The previous prime is 444040042099. The next prime is 444040042169. The reversal of 444040042113 is 311240040444.

444040042113 is a `hidden beast` number, since 4 + 4 + 40 + 400 + 4 + 211 + 3 = 666.

It is not a de Polignac number, because 444040042113 - 2²⁸ = 443771606657 is a prime.

It is not an unprimeable number, because it can be changed into a prime (444040044113) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 19013998 + ... + 19037336.

It is an arithmetic number, because the mean of its divisors is an integer number (26824451940).

Almost surely, 2^444040042113 is an apocalyptic number.

It is an amenable number.

444040042113 is a deficient number, since it is larger than the sum of its proper divisors (199746804447).

444040042113 is a wasteful number, since it uses less digits than its factorization.

444040042113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31149 (or 31146 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 444040042113 its reverse (311240040444), we get a palindrome (755280082557).

The spelling of 444040042113 in words is "four hundred forty-four billion, forty million, forty-two thousand, one hundred thirteen".