442123343321244 has 48 divisors (see below), whose sum is σ = 1129189337569440. Its totient is φ = 133807821431040.

The previous prime is 442123343321227. The next prime is 442123343321321.

442123343321244 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 442123343321196 and 442123343321205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23230515039 + ... + 23230534070.

It is an arithmetic number, because the mean of its divisors is an integer number (23524777866030).

Almost surely, 2^{442123343321244} is an apocalyptic number.

It is an amenable number.

442123343321244 is an abundant number, since it is smaller than the sum of its proper divisors (687065994248196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

442123343321244 is a wasteful number, since it uses less digits than its factorization.

442123343321244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46461049190 (or 46461049188 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

The spelling of 442123343321244 in words is "four hundred forty-two trillion, one hundred twenty-three billion, three hundred forty-three million, three hundred twenty-one thousand, two hundred forty-four".