200314434240 has 224 divisors, whose sum is σ = 743858304000. Its totient is φ = 50605710336.

The previous prime is 200314434217. The next prime is 200314434241. The reversal of 200314434240 is 42434413002.

It is a happy number.

200314434240 is a `hidden beast` number, since 2 + 0 + 0 + 314 + 4 + 342 + 4 + 0 = 666.

200314434240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (200314434241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 445960 + ... + 774279.

It is an arithmetic number, because the mean of its divisors is an integer number (3320796000).

Almost surely, 2^200314434240 is an apocalyptic number.

200314434240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200314434240 is an abundant number, since it is smaller than the sum of its proper divisors (543543869760).

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

200314434240 is a wasteful number, since it uses less digits than its factorization.

200314434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220284 (or 1220268 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 200314434240 its reverse (42434413002), we get a palindrome (242748847242).

The spelling of 200314434240 in words is "two hundred billion, three hundred fourteen million, four hundred thirty-four thousand, two hundred forty".