42222411422224 has 120 divisors (see below), whose sum is σ = 93033946071360. Its totient is φ = 18527345760000.

The previous prime is 42222411422189. The next prime is 42222411422231.

42222411422224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42222411422224² (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 a self number, because there is not a number n which added to its sum of digits gives 42222411422224.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385710699 + ... + 385820149.

It is an arithmetic number, because the mean of its divisors is an integer number (775282883928).

Almost surely, 2^{42222411422224} is an apocalyptic number.

42222411422224 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 42222411422224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46516973035680).

42222411422224 is an abundant number, since it is smaller than the sum of its proper divisors (50811534649136).

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

42222411422224 is a wasteful number, since it uses less digits than its factorization.

42222411422224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116381 (or 116364 counting only the distinct ones).

The product of its digits is 65536, while the sum is 34.

It can be divided in two parts, 4222241 and 1422224, that added together give a palindrome (5644465).

The spelling of 42222411422224 in words is "forty-two trillion, two hundred twenty-two billion, four hundred eleven million, four hundred twenty-two thousand, two hundred twenty-four".