422303408352 has 576 divisors, whose sum is σ = 1469706094080. Its totient is φ = 115552604160.

The previous prime is 422303408341. The next prime is 422303408369. The reversal of 422303408352 is 253804303224.

422303408352 is a `hidden beast` number, since 4 + 2 + 230 + 340 + 83 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 656770143 + ... + 656770785.

It is an arithmetic number, because the mean of its divisors is an integer number (2551573080).

Almost surely, 2^422303408352 is an apocalyptic number.

422303408352 is a gapful number since it is divisible by the number (42) 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 422303408352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734853047040).

422303408352 is an abundant number, since it is smaller than the sum of its proper divisors (1047402685728).

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

422303408352 is a wasteful number, since it uses less digits than its factorization.

422303408352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 422303408352 in words is "four hundred twenty-two billion, three hundred three million, four hundred eight thousand, three hundred fifty-two".