422734233600 has 576 divisors, whose sum is σ = 1730845409280. Its totient is φ = 96613171200.

The previous prime is 422734233599. The next prime is 422734233617. The reversal of 422734233600 is 6332437224.

422734233600 is a `hidden beast` number, since 4 + 2 + 2 + 7 + 3 + 42 + 3 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 51605505 + ... + 51613695.

Almost surely, 2^422734233600 is an apocalyptic number.

422734233600 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 422734233600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865422704640).

422734233600 is an abundant number, since it is smaller than the sum of its proper divisors (1308111175680).

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

422734233600 is an equidigital number, since it uses as much as digits as its factorization.

422734233600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8244 (or 8208 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 422734233600 in words is "four hundred twenty-two billion, seven hundred thirty-four million, two hundred thirty-three thousand, six hundred".