42213422431224 has 192 divisors, whose sum is σ = 128114046627840. Its totient is φ = 12444107431680.

The previous prime is 42213422431199. The next prime is 42213422431253.

42213422431224 is a `hidden beast` number, since 4 + 2 + 2 + 1 + 3 + 422 + 4 + 3 + 1 + 224 = 666.

42213422431224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

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, 177082177 + ... + 177320399.

It is an arithmetic number, because the mean of its divisors is an integer number (667260659520).

Almost surely, 2^{42213422431224} is an apocalyptic number.

42213422431224 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 42213422431224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64057023313920).

42213422431224 is an abundant number, since it is smaller than the sum of its proper divisors (85900624196616).

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

42213422431224 is a wasteful number, since it uses less digits than its factorization.

42213422431224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244330 (or 244323 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

It can be divided in two parts, 4221342 and 2431224, that added together give a palindrome (6652566).

The spelling of 42213422431224 in words is "forty-two trillion, two hundred thirteen billion, four hundred twenty-two million, four hundred thirty-one thousand, two hundred twenty-four".