10004432041321 has 8 divisors (see below), whose sum is σ = 10006217191080. Its totient is φ = 10002647052288.

The previous prime is 10004432041319. The next prime is 10004432041337. The reversal of 10004432041321 is 12314023440001.

10004432041321 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 4 ways, for example, as 961450847296 + 9042981194025 = 980536^2 + 3007155^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10004432041321 - 2¹ = 10004432041319 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004432048321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 213888225 + ... + 213934993.

It is an arithmetic number, because the mean of its divisors is an integer number (1250777148885).

Almost surely, 2^{10004432041321} is an apocalyptic number.

It is an amenable number.

10004432041321 is a deficient number, since it is larger than the sum of its proper divisors (1785149759).

10004432041321 is an equidigital number, since it uses as much as digits as its factorization.

10004432041321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80363.

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 10004432041321 its reverse (12314023440001), we get a palindrome (22318455481322).

The spelling of 10004432041321 in words is "ten trillion, four billion, four hundred thirty-two million, forty-one thousand, three hundred twenty-one".