422115096200 has 108 divisors (see below), whose sum is σ = 1141823022165. Its totient is φ = 144703124160.

The previous prime is 422115096199. The next prime is 422115096241. The reversal of 422115096200 is 2690511224.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 413672794276 + 8442301924 = 643174^2 + 91882^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=459410.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 64314119 + ... + 64320681.

Almost surely, 2^422115096200 is an apocalyptic number.

422115096200 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 422115096200

422115096200 is an abundant number, since it is smaller than the sum of its proper divisors (719707925965).

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

422115096200 is an frugal number, since it uses more digits than its factorization.

422115096200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13156 (or 6577 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Multiplying 422115096200 by its sum of digits (32), we get a square (13507683078400 = 3675280²).

The spelling of 422115096200 in words is "four hundred twenty-two billion, one hundred fifteen million, ninety-six thousand, two hundred".