422362987200 has 3024 divisors, whose sum is σ = 2105961772320. Its totient is φ = 81749606400.

The previous prime is 422362987199. The next prime is 422362987337. The reversal of 422362987200 is 2789263224.

422362987200 is a `hidden beast` number, since 4 + 2 + 2 + 362 + 9 + 87 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 431 ways as a sum of consecutive naturals, for example, 4354257552 + ... + 4354257648.

It is an arithmetic number, because the mean of its divisors is an integer number (696415930).

Almost surely, 2^422362987200 is an apocalyptic number.

422362987200 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 422362987200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052980886160).

422362987200 is an abundant number, since it is smaller than the sum of its proper divisors (1683598785120).

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

422362987200 is a wasteful number, since it uses less digits than its factorization.

422362987200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 422362987200 in words is "four hundred twenty-two billion, three hundred sixty-two million, nine hundred eighty-seven thousand, two hundred".