42442444424424 has 256 divisors, whose sum is σ = 120243272636160. Its totient is φ = 12370682880000.

The previous prime is 42442444424357. The next prime is 42442444424431.

It is a happy number.

42442444424424 is nontrivially palindromic in base 10.

42442444424424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×42442444424424² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 644195964 + ... + 644261844.

It is an arithmetic number, because the mean of its divisors is an integer number (469700283735).

Almost surely, 2^{42442444424424} is an apocalyptic number.

42442444424424 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 42442444424424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60121636318080).

42442444424424 is an abundant number, since it is smaller than the sum of its proper divisors (77800828211736).

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

42442444424424 is a wasteful number, since it uses less digits than its factorization.

42442444424424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66692 (or 66688 counting only the distinct ones).

The product of its digits is 16777216, while the sum is 48.

It can be divided in two parts, 4244244 and 4424424, that added together give a palindrome (8668668).

The spelling of 42442444424424 in words is "forty-two trillion, four hundred forty-two billion, four hundred forty-four million, four hundred twenty-four thousand, four hundred twenty-four".