422331401600 has 384 divisors, whose sum is σ = 1111146024960. Its totient is φ = 158376960000.

The previous prime is 422331401587. The next prime is 422331401621. The reversal of 422331401600 is 6104133224.

It is a self number, because there is not a number n which added to its sum of digits gives 422331401600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 429634709 + ... + 429635691.

It is an arithmetic number, because the mean of its divisors is an integer number (2893609440).

Almost surely, 2^422331401600 is an apocalyptic number.

422331401600 is a gapful number since it is divisible by the number (40) 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 422331401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555573012480).

422331401600 is an abundant number, since it is smaller than the sum of its proper divisors (688814623360).

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

422331401600 is a wasteful number, since it uses less digits than its factorization.

422331401600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 422331401600 its reverse (6104133224), we get a palindrome (428435534824).

The spelling of 422331401600 in words is "four hundred twenty-two billion, three hundred thirty-one million, four hundred one thousand, six hundred".