422388769612800 has 792 divisors, whose sum is σ = 1461864950106400. Its totient is φ = 107554258944000.

The previous prime is 422388769612759. The next prime is 422388769612813. The reversal of 422388769612800 is 8216967883224.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24416938551 + ... + 24416955849.

Almost surely, 2^{422388769612800} is an apocalyptic number.

422388769612800 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 422388769612800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730932475053200).

422388769612800 is an abundant number, since it is smaller than the sum of its proper divisors (1039476180493600).

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

422388769612800 is a wasteful number, since it uses less digits than its factorization.

422388769612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17979 (or 17933 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 66.

The spelling of 422388769612800 in words is "four hundred twenty-two trillion, three hundred eighty-eight billion, seven hundred sixty-nine million, six hundred twelve thousand, eight hundred".