422396406574560 has 2304 divisors, whose sum is σ = 1659794958581760. Its totient is φ = 96929579335680.

The previous prime is 422396406574523. The next prime is 422396406574577. The reversal of 422396406574560 is 65475604693224.

422396406574560 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 9 + 6 + 4 + 0 + 6 + 574 + 56 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 772205496207 + ... + 772205496753.

It is an arithmetic number, because the mean of its divisors is an integer number (720397117440).

Almost surely, 2^{422396406574560} is an apocalyptic number.

422396406574560 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 422396406574560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829897479290880).

422396406574560 is an abundant number, since it is smaller than the sum of its proper divisors (1237398552007200).

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

422396406574560 is a wasteful number, since it uses less digits than its factorization.

422396406574560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 422396406574560 in words is "four hundred twenty-two trillion, three hundred ninety-six billion, four hundred six million, five hundred seventy-four thousand, five hundred sixty".