11240003124240 has 320 divisors, whose sum is σ = 38686381056000. Its totient is φ = 2676828211200.

The previous prime is 11240003124227. The next prime is 11240003124263. The reversal of 11240003124240 is 4242130004211.

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 11240003124240.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41368030 + ... + 41638850.

It is an arithmetic number, because the mean of its divisors is an integer number (120894940800).

Almost surely, 2^{11240003124240} is an apocalyptic number.

11240003124240 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 11240003124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19343190528000).

11240003124240 is an abundant number, since it is smaller than the sum of its proper divisors (27446377931760).

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

11240003124240 is a wasteful number, since it uses less digits than its factorization.

11240003124240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271126 (or 271120 counting only the distinct ones).

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

Adding to 11240003124240 its reverse (4242130004211), we get a palindrome (15482133128451).

The spelling of 11240003124240 in words is "eleven trillion, two hundred forty billion, three million, one hundred twenty-four thousand, two hundred forty".