200431324432500 has 720 divisors, whose sum is σ = 711366645306240. Its totient is φ = 43733499264000.

The previous prime is 200431324432373. The next prime is 200431324432501. The reversal of 200431324432500 is 5234423134002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200431324432501) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 720528441 + ... + 720806559.

It is an arithmetic number, because the mean of its divisors is an integer number (988009229592).

Almost surely, 2^{200431324432500} is an apocalyptic number.

200431324432500 is a gapful number since it is divisible by the number (20) 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 200431324432500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355683322653120).

200431324432500 is an abundant number, since it is smaller than the sum of its proper divisors (510935320873740).

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

200431324432500 is a wasteful number, since it uses less digits than its factorization.

200431324432500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278250 (or 278226 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 33.

Adding to 200431324432500 its reverse (5234423134002), we get a palindrome (205665747566502).

The spelling of 200431324432500 in words is "two hundred trillion, four hundred thirty-one billion, three hundred twenty-four million, four hundred thirty-two thousand, five hundred".