422384578560 has 1664 divisors, whose sum is σ = 1868334336000. Its totient is φ = 90172293120.

The previous prime is 422384578559. The next prime is 422384578589. The reversal of 422384578560 is 65875483224.

422384578560 is a `hidden beast` number, since 4 + 2 + 2 + 3 + 8 + 4 + 5 + 78 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 422384578497 and 422384578506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3224309695 + ... + 3224309825.

Almost surely, 2^422384578560 is an apocalyptic number.

422384578560 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 422384578560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (934167168000).

422384578560 is an abundant number, since it is smaller than the sum of its proper divisors (1445949757440).

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

422384578560 is a wasteful number, since it uses less digits than its factorization.

422384578560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 422384578560 in words is "four hundred twenty-two billion, three hundred eighty-four million, five hundred seventy-eight thousand, five hundred sixty".