422382038400 has 2304 divisors, whose sum is σ = 1946527200000. Its totient is φ = 88902696960.

The previous prime is 422382038363. The next prime is 422382038411. The reversal of 422382038400 is 4830283224.

It is a happy number.

422382038400 is a `hidden beast` number, since 4 + 223 + 8 + 20 + 3 + 8 + 400 = 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 287 ways as a sum of consecutive naturals, for example, 4745865556 + ... + 4745865644.

It is an arithmetic number, because the mean of its divisors is an integer number (844846875).

Almost surely, 2^422382038400 is an apocalyptic number.

422382038400 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 422382038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973263600000).

422382038400 is an abundant number, since it is smaller than the sum of its proper divisors (1524145161600).

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

422382038400 is a wasteful number, since it uses less digits than its factorization.

422382038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 184 counting only the distinct ones).

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

The spelling of 422382038400 in words is "four hundred twenty-two billion, three hundred eighty-two million, thirty-eight thousand, four hundred".