42224042224 has 160 divisors (see below), whose sum is σ = 105202016640. Its totient is φ = 15966720000.

The previous prime is 42224042153. The next prime is 42224042251.

42224042224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 42224042192 and 42224042201.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4259674 + ... + 4269574.

It is an arithmetic number, because the mean of its divisors is an integer number (657512604).

Almost surely, 2^42224042224 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 42224042224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52601008320).

42224042224 is an abundant number, since it is smaller than the sum of its proper divisors (62977974416).

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

42224042224 is a wasteful number, since it uses less digits than its factorization.

42224042224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10059 (or 10053 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

It can be divided in two parts, 422240 and 42224, that added together give a palindrome (464464).

The spelling of 42224042224 in words is "forty-two billion, two hundred twenty-four million, forty-two thousand, two hundred twenty-four".