422202863617920 has 2560 divisors, whose sum is σ = 1996504384343040. Its totient is φ = 82316014387200.

The previous prime is 422202863617897. The next prime is 422202863617999. The reversal of 422202863617920 is 29716368202224.

422202863617920 is a `hidden beast` number, since 4 + 2 + 2 + 202 + 8 + 6 + 361 + 79 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 22461173962 + ... + 22461192758.

It is an arithmetic number, because the mean of its divisors is an integer number (779884525134).

Almost surely, 2^{422202863617920} is an apocalyptic number.

422202863617920 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 422202863617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (998252192171520).

422202863617920 is an abundant number, since it is smaller than the sum of its proper divisors (1574301520725120).

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

422202863617920 is a wasteful number, since it uses less digits than its factorization.

422202863617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19194 (or 19173 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 422202863617920 in words is "four hundred twenty-two trillion, two hundred two billion, eight hundred sixty-three million, six hundred seventeen thousand, nine hundred twenty".