10000442410321 has 64 divisors (see below), whose sum is σ = 11689682780160. Its totient is φ = 8463942527040.

The previous prime is 10000442410261. The next prime is 10000442410337. The reversal of 10000442410321 is 12301424400001.

It is a happy number.

It is not a de Polignac number, because 10000442410321 - 2²³ = 10000434021713 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000442410292 and 10000442410301.

It is not an unprimeable number, because it can be changed into a prime (10000442440321) 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 63 ways as a sum of consecutive naturals, for example, 4992731106 + ... + 4992733108.

It is an arithmetic number, because the mean of its divisors is an integer number (182651293440).

Almost surely, 2^{10000442410321} is an apocalyptic number.

10000442410321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000442410321 is a deficient number, since it is larger than the sum of its proper divisors (1689240369839).

10000442410321 is a wasteful number, since it uses less digits than its factorization.

10000442410321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3466.

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10000442410321 its reverse (12301424400001), we get a palindrome (22301866810322).

The spelling of 10000442410321 in words is "ten trillion, four hundred forty-two million, four hundred ten thousand, three hundred twenty-one".