243132414240 has 192 divisors, whose sum is σ = 815778480384. Its totient is φ = 60655730688.

The previous prime is 243132414229. The next prime is 243132414307. The reversal of 243132414240 is 42414231342.

243132414240 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×243132414240² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 243132414198 and 243132414207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1273512 + ... + 1451928.

It is an arithmetic number, because the mean of its divisors is an integer number (4248846252).

Almost surely, 2^243132414240 is an apocalyptic number.

243132414240 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 243132414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407889240192).

243132414240 is an abundant number, since it is smaller than the sum of its proper divisors (572646066144).

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

243132414240 is a wasteful number, since it uses less digits than its factorization.

243132414240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178619 (or 178611 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 243132414240 its reverse (42414231342), we get a palindrome (285546645582).

The spelling of 243132414240 in words is "two hundred forty-three billion, one hundred thirty-two million, four hundred fourteen thousand, two hundred forty".