240324243213000 has 128 divisors (see below), whose sum is σ = 793918205982720. Its totient is φ = 60316672793600.

The previous prime is 240324243212981. The next prime is 240324243213001. The reversal of 240324243213000 is 312342423042.

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

It is not an unprimeable number, because it can be changed into a prime (240324243213001) by changing a digit.

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, 2356069032 + ... + 2356171031.

It is an arithmetic number, because the mean of its divisors is an integer number (6202485984240).

Almost surely, 2^{240324243213000} is an apocalyptic number.

240324243213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240324243213000 is an abundant number, since it is smaller than the sum of its proper divisors (553593962769720).

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

240324243213000 is a wasteful number, since it uses less digits than its factorization.

240324243213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4712240104 (or 4712240090 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 240324243213000 its reverse (312342423042), we get a palindrome (240636585636042).

The spelling of 240324243213000 in words is "two hundred forty trillion, three hundred twenty-four billion, two hundred forty-three million, two hundred thirteen thousand".