422021433600 has 648 divisors, whose sum is σ = 1710463023360. Its totient is φ = 98411397120.

The previous prime is 422021433599. The next prime is 422021433611. The reversal of 422021433600 is 6334120224.

422021433600 is a `hidden beast` number, since 4 + 2 + 2 + 0 + 21 + 4 + 33 + 600 = 666.

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, 14212369 + ... + 14242031.

Almost surely, 2^422021433600 is an apocalyptic number.

422021433600 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 422021433600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855231511680).

422021433600 is an abundant number, since it is smaller than the sum of its proper divisors (1288441589760).

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

422021433600 is a wasteful number, since it uses less digits than its factorization.

422021433600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29727 (or 29705 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 422021433600 its reverse (6334120224), we get a palindrome (428355553824).

The spelling of 422021433600 in words is "four hundred twenty-two billion, twenty-one million, four hundred thirty-three thousand, six hundred".