243342134400 has 768 divisors, whose sum is σ = 892533945600. Its totient is φ = 57960038400.

The previous prime is 243342134393. The next prime is 243342134411. The reversal of 243342134400 is 4431243342.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 904617466 + ... + 904617734.

It is an arithmetic number, because the mean of its divisors is an integer number (1162153575).

Almost surely, 2^243342134400 is an apocalyptic number.

243342134400 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 243342134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446266972800).

243342134400 is an abundant number, since it is smaller than the sum of its proper divisors (649191811200).

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

243342134400 is a wasteful number, since it uses less digits than its factorization.

243342134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 243342134400 its reverse (4431243342), we get a palindrome (247773377742).

The spelling of 243342134400 in words is "two hundred forty-three billion, three hundred forty-two million, one hundred thirty-four thousand, four hundred".