422501525200 has 120 divisors (see below), whose sum is σ = 1034412096960. Its totient is φ = 165790540800.

The previous prime is 422501525189. The next prime is 422501525233. The reversal of 422501525200 is 2525105224.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 11474820 + ... + 11511580.

It is an arithmetic number, because the mean of its divisors is an integer number (8620100808).

Almost surely, 2^422501525200 is an apocalyptic number.

422501525200 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 422501525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517206048480).

422501525200 is an abundant number, since it is smaller than the sum of its proper divisors (611910571760).

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

422501525200 is a wasteful number, since it uses less digits than its factorization.

422501525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37325 (or 37314 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 28.

The spelling of 422501525200 in words is "four hundred twenty-two billion, five hundred one million, five hundred twenty-five thousand, two hundred".