422638387200 has 864 divisors, whose sum is σ = 1649990956320. Its totient is φ = 105696460800.

The previous prime is 422638387169. The next prime is 422638387201. The reversal of 422638387200 is 2783836224.

422638387200 is a `hidden beast` number, since 4 + 2 + 2 + 63 + 8 + 387 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422638387201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1504051060 + ... + 1504051340.

It is an arithmetic number, because the mean of its divisors is an integer number (1909711755).

Almost surely, 2^422638387200 is an apocalyptic number.

422638387200 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 422638387200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824995478160).

422638387200 is an abundant number, since it is smaller than the sum of its proper divisors (1227352569120).

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

422638387200 is an equidigital number, since it uses as much as digits as its factorization.

422638387200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 422638387200 in words is "four hundred twenty-two billion, six hundred thirty-eight million, three hundred eighty-seven thousand, two hundred".