42442322324424 has 128 divisors (see below), whose sum is σ = 118888929982080. Its totient is φ = 12512789452800.

The previous prime is 42442322324417. The next prime is 42442322324447.

42442322324424 is nontrivially palindromic in base 10.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139344682 + ... + 139648934.

It is an arithmetic number, because the mean of its divisors is an integer number (928819765485).

Almost surely, 2^{42442322324424} is an apocalyptic number.

42442322324424 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 42442322324424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59444464991040).

42442322324424 is an abundant number, since it is smaller than the sum of its proper divisors (76446607657656).

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

42442322324424 is a wasteful number, since it uses less digits than its factorization.

42442322324424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318591 (or 318587 counting only the distinct ones).

The product of its digits is 2359296, while the sum is 42.

It can be divided in two parts, 4244232 and 2324424, that added together give a palindrome (6568656).

The spelling of 42442322324424 in words is "forty-two trillion, four hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, four hundred twenty-four".