422943824160 has 2304 divisors, whose sum is σ = 1946453483520. Its totient is φ = 84377272320.

The previous prime is 422943824159. The next prime is 422943824207. The reversal of 422943824160 is 61428349224.

422943824160 is a `hidden beast` number, since 4 + 22 + 94 + 382 + 4 + 160 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4106250669 + ... + 4106250771.

It is an arithmetic number, because the mean of its divisors is an integer number (844814880).

Almost surely, 2^422943824160 is an apocalyptic number.

422943824160 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 422943824160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973226741760).

422943824160 is an abundant number, since it is smaller than the sum of its proper divisors (1523509659360).

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

422943824160 is a wasteful number, since it uses less digits than its factorization.

422943824160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 422943824160 in words is "four hundred twenty-two billion, nine hundred forty-three million, eight hundred twenty-four thousand, one hundred sixty".