9042442409 has 144 divisors (see below), whose sum is σ = 13510433664. Its totient is φ = 5971553280.

The previous prime is 9042442397. The next prime is 9042442447.

9042442409 is nontrivially palindromic in base 10.

9042442409 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9042442409 - 2⁸ = 9042442153 is a prime.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (9042442009) 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 143 ways as a sum of consecutive naturals, for example, 87790652 + ... + 87790754.

It is an arithmetic number, because the mean of its divisors is an integer number (93822456).

Almost surely, 2^9042442409 is an apocalyptic number.

It is an amenable number.

9042442409 is a deficient number, since it is larger than the sum of its proper divisors (4467991255).

9042442409 is a wasteful number, since it uses less digits than its factorization.

9042442409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The square root of 9042442409 is about 95091.7578394679. The cubic root of 9042442409 is about 2083.3484657902.

The spelling of 9042442409 in words is "nine billion, forty-two million, four hundred forty-two thousand, four hundred nine".