243400324440 has 384 divisors, whose sum is σ = 919153509120. Its totient is φ = 51108019200.

The previous prime is 243400324411. The next prime is 243400324457. The reversal of 243400324440 is 44423004342.

243400324440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×243400324440² (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 = 243400324398 and 243400324407.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16121295 + ... + 16136385.

It is an arithmetic number, because the mean of its divisors is an integer number (2393628930).

Almost surely, 2^243400324440 is an apocalyptic number.

243400324440 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 243400324440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459576754560).

243400324440 is an abundant number, since it is smaller than the sum of its proper divisors (675753184680).

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

243400324440 is a wasteful number, since it uses less digits than its factorization.

243400324440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15343 (or 15332 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 30.

Adding to 243400324440 its reverse (44423004342), we get a palindrome (287823328782).

The spelling of 243400324440 in words is "two hundred forty-three billion, four hundred million, three hundred twenty-four thousand, four hundred forty".