240324344432140 has 96 divisors (see below), whose sum is σ = 519591147284160. Its totient is φ = 93302572253184.

The previous prime is 240324344432131. The next prime is 240324344432189. The reversal of 240324344432140 is 41234443423042.

240324344432140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240324344432093 and 240324344432102.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1321178316 + ... + 1321360204.

It is an arithmetic number, because the mean of its divisors is an integer number (5412407784210).

Almost surely, 2^{240324344432140} is an apocalyptic number.

240324344432140 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 240324344432140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259795573642080).

240324344432140 is an abundant number, since it is smaller than the sum of its proper divisors (279266802852020).

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

240324344432140 is a wasteful number, since it uses less digits than its factorization.

240324344432140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186299 (or 186297 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 40.

Adding to 240324344432140 its reverse (41234443423042), we get a palindrome (281558787855182).

The spelling of 240324344432140 in words is "two hundred forty trillion, three hundred twenty-four billion, three hundred forty-four million, four hundred thirty-two thousand, one hundred forty".