243141114400 has 144 divisors (see below), whose sum is σ = 632556013824. Its totient is φ = 91048263680.

The previous prime is 243141114397. The next prime is 243141114407. The reversal of 243141114400 is 4411141342.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (243141114407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724224 + ... + 1005376.

It is an arithmetic number, because the mean of its divisors is an integer number (4392750096).

Almost surely, 2^243141114400 is an apocalyptic number.

243141114400 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 243141114400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316278006912).

243141114400 is an abundant number, since it is smaller than the sum of its proper divisors (389414899424).

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

243141114400 is a wasteful number, since it uses less digits than its factorization.

243141114400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281243 (or 281230 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 243141114400 its reverse (4411141342), we get a palindrome (247552255742).

The spelling of 243141114400 in words is "two hundred forty-three billion, one hundred forty-one million, one hundred fourteen thousand, four hundred".