422413286400 has 792 divisors, whose sum is σ = 1768990281344. Its totient is φ = 94290739200.

The previous prime is 422413286287. The next prime is 422413286411. The reversal of 422413286400 is 4682314224.

422413286400 is a `hidden beast` number, since 4 + 2 + 2 + 4 + 1 + 3 + 2 + 8 + 640 + 0 = 666.

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

It is a congruent number.

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, 69347355 + ... + 69353445.

Almost surely, 2^422413286400 is an apocalyptic number.

422413286400 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 422413286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884495140672).

422413286400 is an abundant number, since it is smaller than the sum of its proper divisors (1346576994944).

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

422413286400 is a wasteful number, since it uses less digits than its factorization.

422413286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6177 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 422413286400 in words is "four hundred twenty-two billion, four hundred thirteen million, two hundred eighty-six thousand, four hundred".