200230431324000 has 768 divisors, whose sum is σ = 817975791360000. Its totient is φ = 41598087168000.

The previous prime is 200230431323987. The next prime is 200230431324029. The reversal of 200230431324000 is 423134032002.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5404457476 + ... + 5404494524.

It is an arithmetic number, because the mean of its divisors is an integer number (1065072645000).

Almost surely, 2^{200230431324000} is an apocalyptic number.

200230431324000 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 200230431324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408987895680000).

200230431324000 is an abundant number, since it is smaller than the sum of its proper divisors (617745360036000).

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

200230431324000 is a wasteful number, since it uses less digits than its factorization.

200230431324000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42944 (or 42926 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 200230431324000 its reverse (423134032002), we get a palindrome (200653565356002).

The spelling of 200230431324000 in words is "two hundred trillion, two hundred thirty billion, four hundred thirty-one million, three hundred twenty-four thousand".