422769844224 has 672 divisors, whose sum is σ = 1529209665984. Its totient is φ = 109565706240.

The previous prime is 422769844207. The next prime is 422769844267. The reversal of 422769844224 is 422448967224.

It is a happy number.

422769844224 is a `hidden beast` number, since 4 + 22 + 76 + 98 + 442 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 409263612 + ... + 409264644.

It is an arithmetic number, because the mean of its divisors is an integer number (2275609622).

Almost surely, 2^422769844224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422769844224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764604832992).

422769844224 is an abundant number, since it is smaller than the sum of its proper divisors (1106439821760).

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

422769844224 is a wasteful number, since it uses less digits than its factorization.

422769844224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1119 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The spelling of 422769844224 in words is "four hundred twenty-two billion, seven hundred sixty-nine million, eight hundred forty-four thousand, two hundred twenty-four".