422463364224 has 128 divisors (see below), whose sum is σ = 1232292648960. Its totient is φ = 127171200000.

The previous prime is 422463364207. The next prime is 422463364313.

422463364224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×422463364224² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306649 + ... + 968999.

It is an arithmetic number, because the mean of its divisors is an integer number (9627286320).

Almost surely, 2^422463364224 is an apocalyptic number.

422463364224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422463364224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616146324480).

422463364224 is an abundant number, since it is smaller than the sum of its proper divisors (809829284736).

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

422463364224 is a wasteful number, since it uses less digits than its factorization.

422463364224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662530 (or 662518 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 42.

It can be divided in two parts, 422463 and 364224, that added together give a palindrome (786687).

The spelling of 422463364224 in words is "four hundred twenty-two billion, four hundred sixty-three million, three hundred sixty-four thousand, two hundred twenty-four".