243318020400 has 2160 divisors, whose sum is σ = 1147133245440. Its totient is φ = 46581350400.

The previous prime is 243318020399. The next prime is 243318020423. The reversal of 243318020400 is 4020813342.

243318020400 is a `hidden beast` number, since 243 + 3 + 18 + 0 + 2 + 0 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2508433152 + ... + 2508433248.

Almost surely, 2^243318020400 is an apocalyptic number.

243318020400 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 243318020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573566622720).

243318020400 is an abundant number, since it is smaller than the sum of its proper divisors (903815225040).

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

243318020400 is a wasteful number, since it uses less digits than its factorization.

243318020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 243318020400 its reverse (4020813342), we get a palindrome (247338833742).

The spelling of 243318020400 in words is "two hundred forty-three billion, three hundred eighteen million, twenty thousand, four hundred".