200805424342272 has 216 divisors, whose sum is σ = 584643156499584. Its totient is φ = 66279556288512.

The previous prime is 200805424342123. The next prime is 200805424342277. The reversal of 200805424342272 is 272243424508002.

200805424342272 is a `hidden beast` number, since 2 + 0 + 0 + 8 + 0 + 542 + 4 + 34 + 2 + 2 + 72 = 666.

It is a super-2 number, since 2×200805424342272² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200805424342277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3418924618 + ... + 3418983350.

Almost surely, 2^{200805424342272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200805424342272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292321578249792).

200805424342272 is an abundant number, since it is smaller than the sum of its proper divisors (383837732157312).

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

200805424342272 is a wasteful number, since it uses less digits than its factorization.

200805424342272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73265 (or 73248 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 45.

The spelling of 200805424342272 in words is "two hundred trillion, eight hundred five billion, four hundred twenty-four million, three hundred forty-two thousand, two hundred seventy-two".