422458210944 has 768 divisors, whose sum is σ = 1588572610560. Its totient is φ = 104559206400.

The previous prime is 422458210921. The next prime is 422458210957. The reversal of 422458210944 is 449012854224.

422458210944 is a `hidden beast` number, since 4 + 2 + 24 + 582 + 1 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×422458210944² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 422458210944.

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, 184237062 + ... + 184239354.

It is an arithmetic number, because the mean of its divisors is an integer number (2068453920).

Almost surely, 2^422458210944 is an apocalyptic number.

422458210944 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 422458210944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794286305280).

422458210944 is an abundant number, since it is smaller than the sum of its proper divisors (1166114399616).

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

422458210944 is a wasteful number, since it uses less digits than its factorization.

422458210944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2429 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 422458210944 in words is "four hundred twenty-two billion, four hundred fifty-eight million, two hundred ten thousand, nine hundred forty-four".