422243121342224 has 160 divisors (see below), whose sum is σ = 1031584166221056. Its totient is φ = 162945176739840.

The previous prime is 422243121342209. The next prime is 422243121342257.

422243121342224 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447666764 + ... + 448608980.

Almost surely, 2^{422243121342224} 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 422243121342224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515792083110528).

422243121342224 is an abundant number, since it is smaller than the sum of its proper divisors (609341044878832).

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

422243121342224 is a wasteful number, since it uses less digits than its factorization.

422243121342224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949793 (or 949787 counting only the distinct ones).

The product of its digits is 294912, while the sum is 38.

The spelling of 422243121342224 in words is "four hundred twenty-two trillion, two hundred forty-three billion, one hundred twenty-one million, three hundred forty-two thousand, two hundred twenty-four".