422794605312 has 864 divisors, whose sum is σ = 1412989401600. Its totient is φ = 124398084096.

The previous prime is 422794605269. The next prime is 422794605319. The reversal of 422794605312 is 213506497224.

422794605312 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 9 + 4 + 605 + 31 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (422794605319) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3041687739 + ... + 3041687877.

It is an arithmetic number, because the mean of its divisors is an integer number (1635404400).

Almost surely, 2^422794605312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422794605312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706494700800).

422794605312 is an abundant number, since it is smaller than the sum of its proper divisors (990194796288).

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

422794605312 is a wasteful number, since it uses less digits than its factorization.

422794605312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 422794605312 in words is "four hundred twenty-two billion, seven hundred ninety-four million, six hundred five thousand, three hundred twelve".