422632101236224 has 240 divisors, whose sum is σ = 945198433428480. Its totient is φ = 188606852403200.

The previous prime is 422632101236201. The next prime is 422632101236249.

422632101236224 is nontrivially palindromic in base 10.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1051062477 + ... + 1051464499.

It is an arithmetic number, because the mean of its divisors is an integer number (3938326805952).

Almost surely, 2^{422632101236224} is an apocalyptic number.

422632101236224 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 422632101236224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472599216714240).

422632101236224 is an abundant number, since it is smaller than the sum of its proper divisors (522566332192256).

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

422632101236224 is a wasteful number, since it uses less digits than its factorization.

422632101236224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402373 (or 402346 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 40.

It can be divided in two parts, 42263210 and 1236224, that added together give a palindrome (43499434).

The spelling of 422632101236224 in words is "four hundred twenty-two trillion, six hundred thirty-two billion, one hundred one million, two hundred thirty-six thousand, two hundred twenty-four".