243141433120400 has 60 divisors (see below), whose sum is σ = 584168529637044. Its totient is φ = 97253037504000.

The previous prime is 243141433120393. The next prime is 243141433120447. The reversal of 243141433120400 is 4021334141342.

It can be written as a sum of positive squares in 6 ways, for example, as 2528480656 + 243138904639744 = 50284^2 + 15592912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19031 + ... + 22051830.

Almost surely, 2^{243141433120400} is an apocalyptic number.

243141433120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

243141433120400 is an abundant number, since it is smaller than the sum of its proper divisors (341027096516644).

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

243141433120400 is a wasteful number, since it uses less digits than its factorization.

243141433120400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22098420 (or 22098409 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 243141433120400 its reverse (4021334141342), we get a palindrome (247162767261742).

The spelling of 243141433120400 in words is "two hundred forty-three trillion, one hundred forty-one billion, four hundred thirty-three million, one hundred twenty thousand, four hundred".