422016120576 has 216 divisors, whose sum is σ = 1256482488240. Its totient is φ = 139719610368.

The previous prime is 422016120571. The next prime is 422016120583. The reversal of 422016120576 is 675021610224.

It is a happy number.

422016120576 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 1 + 61 + 20 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 422016120576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422016120571) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170372650 + ... + 170375126.

Almost surely, 2^422016120576 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 422016120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628241244120).

422016120576 is an abundant number, since it is smaller than the sum of its proper divisors (834466367664).

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

422016120576 is an equidigital number, since it uses as much as digits as its factorization.

422016120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2816 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 422016120576 in words is "four hundred twenty-two billion, sixteen million, one hundred twenty thousand, five hundred seventy-six".