442333343333244 has 144 divisors (see below), whose sum is σ = 1144112820681600. Its totient is φ = 132902757187200.

The previous prime is 442333343333179. The next prime is 442333343333261.

442333343333244 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 = 442333343333193 and 442333343333202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 220216782 + ... + 222216330.

It is an arithmetic number, because the mean of its divisors is an integer number (7945227921400).

Almost surely, 2^{442333343333244} is an apocalyptic number.

442333343333244 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 442333343333244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572056410340800).

442333343333244 is an abundant number, since it is smaller than the sum of its proper divisors (701779477348356).

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

442333343333244 is a wasteful number, since it uses less digits than its factorization.

442333343333244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000872 (or 2000859 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 48.

The spelling of 442333343333244 in words is "four hundred forty-two trillion, three hundred thirty-three billion, three hundred forty-three million, three hundred thirty-three thousand, two hundred forty-four".