422212040212224 has 288 divisors, whose sum is σ = 1165731997409280. Its totient is φ = 135550457856000.

The previous prime is 422212040212219. The next prime is 422212040212231.

It is a happy number.

422212040212224 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 422212040212191 and 422212040212200.

It is a congruent number.

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, 17997858607 + ... + 17997882065.

It is an arithmetic number, because the mean of its divisors is an integer number (4047680546560).

Almost surely, 2^{422212040212224} 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 422212040212224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582865998704640).

422212040212224 is an abundant number, since it is smaller than the sum of its proper divisors (743519957197056).

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

422212040212224 is a wasteful number, since it uses less digits than its factorization.

422212040212224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29887 (or 29873 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

The spelling of 422212040212224 in words is "four hundred twenty-two trillion, two hundred twelve billion, forty million, two hundred twelve thousand, two hundred twenty-four".