243142400000 has 144 divisors (see below), whose sum is σ = 607684699440. Its totient is φ = 97254400000.

The previous prime is 243142399987. The next prime is 243142400041. The reversal of 243142400000 is 4241342.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 6381005 + ... + 6418995.

It is an arithmetic number, because the mean of its divisors is an integer number (4220032635).

Almost surely, 2^243142400000 is an apocalyptic number.

243142400000 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 243142400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303842349720).

243142400000 is an abundant number, since it is smaller than the sum of its proper divisors (364542299440).

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

243142400000 is an frugal number, since it uses more digits than its factorization.

243142400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38038 (or 37998 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 243142400000 its reverse (4241342), we get a palindrome (243146641342).

The spelling of 243142400000 in words is "two hundred forty-three billion, one hundred forty-two million, four hundred thousand".