422982816480 has 480 divisors, whose sum is σ = 1711960899264. Its totient is φ = 96345759744.

The previous prime is 422982816457. The next prime is 422982816539. The reversal of 422982816480 is 84618289224.

422982816480 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 82 + 81 + 6 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26573004 + ... + 26588916.

Almost surely, 2^422982816480 is an apocalyptic number.

422982816480 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 422982816480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (855980449632).

422982816480 is an abundant number, since it is smaller than the sum of its proper divisors (1288978082784).

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

422982816480 is a wasteful number, since it uses less digits than its factorization.

422982816480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16240 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 422982816480 in words is "four hundred twenty-two billion, nine hundred eighty-two million, eight hundred sixteen thousand, four hundred eighty".