10004242041 has 10 divisors (see below), whose sum is σ = 14944608602. Its totient is φ = 6669494640.

The previous prime is 10004242021. The next prime is 10004242049. The reversal of 10004242041 is 14024240001.

10004242041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9308390400 + 695851641 = 96480^2 + 26379^2 .

It is not a de Polignac number, because 10004242041 - 2¹⁴ = 10004225657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004242049) 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 9 ways as a sum of consecutive naturals, for example, 61754500 + ... + 61754661.

Almost surely, 2^10004242041 is an apocalyptic number.

It is an amenable number.

10004242041 is a deficient number, since it is larger than the sum of its proper divisors (4940366561).

10004242041 is an equidigital number, since it uses as much as digits as its factorization.

10004242041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123509173 (or 123509164 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10004242041 its reverse (14024240001), we get a palindrome (24028482042).

The spelling of 10004242041 in words is "ten billion, four million, two hundred forty-two thousand, forty-one".