422480434320 has 360 divisors, whose sum is σ = 1660382103744. Its totient is φ = 95987372544.

The previous prime is 422480434319. The next prime is 422480434333. The reversal of 422480434320 is 23434084224.

422480434320 is a `hidden beast` number, since 4 + 224 + 80 + 4 + 34 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5855907 + ... + 5927613.

Almost surely, 2^422480434320 is an apocalyptic number.

422480434320 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 422480434320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830191051872).

422480434320 is an abundant number, since it is smaller than the sum of its proper divisors (1237901669424).

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

422480434320 is a wasteful number, since it uses less digits than its factorization.

422480434320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71907 (or 71891 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 422480434320 in words is "four hundred twenty-two billion, four hundred eighty million, four hundred thirty-four thousand, three hundred twenty".