422434040434224 has 640 divisors, whose sum is σ = 1441120842362880. Its totient is φ = 103625754624000.

The previous prime is 422434040434183. The next prime is 422434040434277.

422434040434224 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 472927069 + ... + 473819459.

It is an arithmetic number, because the mean of its divisors is an integer number (2251751316192).

Almost surely, 2^{422434040434224} 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 422434040434224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720560421181440).

422434040434224 is an abundant number, since it is smaller than the sum of its proper divisors (1018686801928656).

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

422434040434224 is a wasteful number, since it uses less digits than its factorization.

422434040434224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892589 (or 892583 counting only the distinct ones).

The product of its (nonzero) digits is 2359296, while the sum is 42.

The spelling of 422434040434224 in words is "four hundred twenty-two trillion, four hundred thirty-four billion, forty million, four hundred thirty-four thousand, two hundred twenty-four".