240441130000 has 100 divisors (see below), whose sum is σ = 583039327068. Its totient is φ = 96026560000.

The previous prime is 240441129997. The next prime is 240441130037. The reversal of 240441130000 is 31144042.

It can be written as a sum of positive squares in 10 ways, for example, as 223210892304 + 17230237696 = 472452^2 + 131264^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 240441130000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6511590 + ... + 6548410.

Almost surely, 2^240441130000 is an apocalyptic number.

240441130000 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 240441130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291519663534).

240441130000 is an abundant number, since it is smaller than the sum of its proper divisors (342598197068).

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

240441130000 is an equidigital number, since it uses as much as digits as its factorization.

240441130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37502 (or 37481 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 240441130000 its reverse (31144042), we get a palindrome (240472274042).

The spelling of 240441130000 in words is "two hundred forty billion, four hundred forty-one million, one hundred thirty thousand".