243312144400 has 120 divisors (see below), whose sum is σ = 629802190080. Its totient is φ = 89798545920.

The previous prime is 243312144353. The next prime is 243312144421. The reversal of 243312144400 is 4441213342.

It is a super-2 number, since 2×243312144400² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 13401729 + ... + 13419871.

It is an arithmetic number, because the mean of its divisors is an integer number (5248351584).

Almost surely, 2^243312144400 is an apocalyptic number.

243312144400 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 243312144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314901095040).

243312144400 is an abundant number, since it is smaller than the sum of its proper divisors (386490045680).

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

243312144400 is a wasteful number, since it uses less digits than its factorization.

243312144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20742 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 243312144400 its reverse (4441213342), we get a palindrome (247753357742).

The spelling of 243312144400 in words is "two hundred forty-three billion, three hundred twelve million, one hundred forty-four thousand, four hundred".