10004412344331 has 8 divisors (see below), whose sum is σ = 13340049859584. Its totient is φ = 6669191529320.

The previous prime is 10004412344291. The next prime is 10004412344347. The reversal of 10004412344331 is 13344321440001.

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 10004412344331 - 2⁹ = 10004412343819 is a prime.

It is a super-2 number, since 2×10004412344331² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10004412344371) 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 7 ways as a sum of consecutive naturals, for example, 104119035 + ... + 104215076.

It is an arithmetic number, because the mean of its divisors is an integer number (1667506232448).

Almost surely, 2^{10004412344331} is an apocalyptic number.

10004412344331 is a deficient number, since it is larger than the sum of its proper divisors (3335637515253).

10004412344331 is a wasteful number, since it uses less digits than its factorization.

10004412344331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208350121.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 10004412344331 its reverse (13344321440001), we get a palindrome (23348733784332).

The spelling of 10004412344331 in words is "ten trillion, four billion, four hundred twelve million, three hundred forty-four thousand, three hundred thirty-one".