240212311140 has 96 divisors (see below), whose sum is σ = 685168396416. Its totient is φ = 62863856640.

The previous prime is 240212311117. The next prime is 240212311177. The reversal of 240212311140 is 41113212042.

240212311140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1547304 + ... + 1695456.

It is an arithmetic number, because the mean of its divisors is an integer number (7137170796).

Almost surely, 2^240212311140 is an apocalyptic number.

240212311140 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 240212311140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342584198208).

240212311140 is an abundant number, since it is smaller than the sum of its proper divisors (444956085276).

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

240212311140 is a wasteful number, since it uses less digits than its factorization.

240212311140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148669 (or 148667 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 240212311140 its reverse (41113212042), we get a palindrome (281325523182).

The spelling of 240212311140 in words is "two hundred forty billion, two hundred twelve million, three hundred eleven thousand, one hundred forty".