42222333322224 has 60 divisors (see below), whose sum is σ = 128906063102232. Its totient is φ = 12794646460800.

The previous prime is 42222333322223. The next prime is 42222333322241.

It is a happy number.

42222333322224 is a `hidden beast` number, since 42 + 22 + 23 + 33 + 322 + 224 = 666.

42222333322224 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×42222333322224² (a number of 28 digits) contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (42222333322223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13327755147 + ... + 13327758314.

Almost surely, 2^{42222333322224} is an apocalyptic number.

42222333322224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42222333322224 is an abundant number, since it is smaller than the sum of its proper divisors (86683729780008).

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

42222333322224 is a wasteful number, since it uses less digits than its factorization.

42222333322224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26655513486 (or 26655513477 counting only the distinct ones).

The product of its digits is 331776, while the sum is 36.

It can be divided in two parts, 4222233 and 3322224, that added together give a palindrome (7544457).

The spelling of 42222333322224 in words is "forty-two trillion, two hundred twenty-two billion, three hundred thirty-three million, three hundred twenty-two thousand, two hundred twenty-four".