243424441242400 has 288 divisors, whose sum is σ = 669475286839296. Its totient is φ = 85626798720000.

The previous prime is 243424441242347. The next prime is 243424441242401. The reversal of 243424441242400 is 4242144424342.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (243424441242401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657535749 + ... + 657905851.

It is an arithmetic number, because the mean of its divisors is an integer number (2324566968192).

Almost surely, 2^{243424441242400} is an apocalyptic number.

243424441242400 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 243424441242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334737643419648).

243424441242400 is an abundant number, since it is smaller than the sum of its proper divisors (426050845596896).

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

243424441242400 is a wasteful number, since it uses less digits than its factorization.

243424441242400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372576 (or 372563 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 40.

Adding to 243424441242400 its reverse (4242144424342), we get a palindrome (247666585666742).

The spelling of 243424441242400 in words is "two hundred forty-three trillion, four hundred twenty-four billion, four hundred forty-one million, two hundred forty-two thousand, four hundred".