42242411424224 has 96 divisors (see below), whose sum is σ = 92944620018432. Its totient is φ = 18731440000000.

The previous prime is 42242411424223. The next prime is 42242411424253.

42242411424224 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42242411424221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217927349 + ... + 218121099.

It is an arithmetic number, because the mean of its divisors is an integer number (968173125192).

Almost surely, 2^{42242411424224} is an apocalyptic number.

42242411424224 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 42242411424224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46472310009216).

42242411424224 is an abundant number, since it is smaller than the sum of its proper divisors (50702208594208).

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

42242411424224 is a wasteful number, since it uses less digits than its factorization.

42242411424224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208920 (or 208912 counting only the distinct ones).

The product of its digits is 262144, while the sum is 38.

It can be divided in two parts, 4224241 and 1424224, that added together give a palindrome (5648465).

The spelling of 42242411424224 in words is "forty-two trillion, two hundred forty-two billion, four hundred eleven million, four hundred twenty-four thousand, two hundred twenty-four".