42222222224 has 80 divisors (see below), whose sum is σ = 101266351872. Its totient is φ = 16606646784.

The previous prime is 42222222223. The next prime is 42222222241.

It is a happy number.

42222222224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

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

It is a junction number, because it is equal to n+sod(n) for n = 42222222193 and 42222222202.

It is not an unprimeable number, because it can be changed into a prime (42222222223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168077 + ... + 335699.

Almost surely, 2^42222222224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42222222224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50633175936).

42222222224 is an abundant number, since it is smaller than the sum of its proper divisors (59044129648).

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

42222222224 is a wasteful number, since it uses less digits than its factorization.

42222222224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167824 (or 167818 counting only the distinct ones).

The product of its digits is 8192, while the sum is 26.

The spelling of 42222222224 in words is "forty-two billion, two hundred twenty-two million, two hundred twenty-two thousand, two hundred twenty-four".