240213324110000 has 200 divisors, whose sum is σ = 618316931121120. Its totient is φ = 90173594368000.

The previous prime is 240213324109991. The next prime is 240213324110021. The reversal of 240213324110000 is 11423312042.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (23).

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 39 ways as a sum of consecutive naturals, for example, 2337116 + ... + 22042884.

Almost surely, 2^{240213324110000} is an apocalyptic number.

240213324110000 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 240213324110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309158465560560).

240213324110000 is an abundant number, since it is smaller than the sum of its proper divisors (378103607011120).

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

240213324110000 is a wasteful number, since it uses less digits than its factorization.

240213324110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19705873 (or 19705852 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 240213324110000 its reverse (11423312042), we get a palindrome (240224747422042).

The spelling of 240213324110000 in words is "two hundred forty trillion, two hundred thirteen billion, three hundred twenty-four million, one hundred ten thousand".