442430310122311 has 8 divisors (see below), whose sum is σ = 505857681463680. Its totient is φ = 379058699111928.

The previous prime is 442430310122299. The next prime is 442430310122321. The reversal of 442430310122311 is 113221013034244.

It is a happy number.

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 442430310122311 - 2¹⁷ = 442430309991239 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442430310122321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13940065741 + ... + 13940097478.

It is an arithmetic number, because the mean of its divisors is an integer number (63232210182960).

Almost surely, 2^{442430310122311} is an apocalyptic number.

442430310122311 is a deficient number, since it is larger than the sum of its proper divisors (63427371341369).

442430310122311 is a wasteful number, since it uses less digits than its factorization.

442430310122311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27880165493.

The product of its (nonzero) digits is 13824, while the sum is 31.

Adding to 442430310122311 its reverse (113221013034244), we get a palindrome (555651323156555).

The spelling of 442430310122311 in words is "four hundred forty-two trillion, four hundred thirty billion, three hundred ten million, one hundred twenty-two thousand, three hundred eleven".