422046929880576 has 2880 divisors, whose sum is σ = 1766371664977920. Its totient is φ = 95091885342720.

The previous prime is 422046929880523. The next prime is 422046929880647. The reversal of 422046929880576 is 675088929640224.

422046929880576 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 46 + 9 + 2 + 9 + 8 + 8 + 0 + 576 = 666.

It is a super-2 number, since 2×422046929880576² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77911559020 + ... + 77911564436.

It is an arithmetic number, because the mean of its divisors is an integer number (613323494784).

Almost surely, 2^{422046929880576} 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 422046929880576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883185832488960).

422046929880576 is an abundant number, since it is smaller than the sum of its proper divisors (1344324735097344).

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

422046929880576 is a wasteful number, since it uses less digits than its factorization.

422046929880576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5625 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 422046929880576 in words is "four hundred twenty-two trillion, forty-six billion, nine hundred twenty-nine million, eight hundred eighty thousand, five hundred seventy-six".