11241324240 has 160 divisors (see below), whose sum is σ = 36054692352. Its totient is φ = 2895360000.

The previous prime is 11241324223. The next prime is 11241324247. The reversal of 11241324240 is 4242314211.

11241324240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11241324240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11241324247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 988185 + ... + 999495.

Almost surely, 2^11241324240 is an apocalyptic number.

11241324240 is a gapful number since it is divisible by the number (10) 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 11241324240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18027346176).

11241324240 is an abundant number, since it is smaller than the sum of its proper divisors (24813368112).

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

11241324240 is a wasteful number, since it uses less digits than its factorization.

11241324240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11469 (or 11463 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 11241324240 its reverse (4242314211), we get a palindrome (15483638451).

The spelling of 11241324240 in words is "eleven billion, two hundred forty-one million, three hundred twenty-four thousand, two hundred forty".