42262226224 has 40 divisors (see below), whose sum is σ = 86369987840. Its totient is φ = 19977772608.

The previous prime is 42262226213. The next prime is 42262226261.

42262226224 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42262226224.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5317 + ... + 290779.

It is an arithmetic number, because the mean of its divisors is an integer number (2159249696).

Almost surely, 2^42262226224 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 42262226224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43184993920).

42262226224 is an abundant number, since it is smaller than the sum of its proper divisors (44107761616).

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

42262226224 is a wasteful number, since it uses less digits than its factorization.

42262226224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285977 (or 285971 counting only the distinct ones).

The product of its digits is 73728, while the sum is 34.

The spelling of 42262226224 in words is "forty-two billion, two hundred sixty-two million, two hundred twenty-six thousand, two hundred twenty-four".