422424323424224 has 72 divisors (see below), whose sum is σ = 953869944318480. Its totient is φ = 183662749276160.

The previous prime is 422424323424223. The next prime is 422424323424239.

422424323424224 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×422424323424224³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422424323424223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2371589009 + ... + 2371767120.

It is an arithmetic number, because the mean of its divisors is an integer number (13248193671090).

Almost surely, 2^{422424323424224} is an apocalyptic number.

422424323424224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

422424323424224 is an abundant number, since it is smaller than the sum of its proper divisors (531445620894256).

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

422424323424224 is a wasteful number, since it uses less digits than its factorization.

422424323424224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743356184 (or 4743356165 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 44.

The spelling of 422424323424224 in words is "four hundred twenty-two trillion, four hundred twenty-four billion, three hundred twenty-three million, four hundred twenty-four thousand, two hundred twenty-four".