11440012230240 has 192 divisors, whose sum is σ = 39339013029120. Its totient is φ = 2771433584640.

The previous prime is 11440012230223. The next prime is 11440012230253. The reversal of 11440012230240 is 4203221004411.

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 11440012230240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6961002 + ... + 8446038.

It is an arithmetic number, because the mean of its divisors is an integer number (204890692860).

Almost surely, 2^{11440012230240} is an apocalyptic number.

11440012230240 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 11440012230240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19669506514560).

11440012230240 is an abundant number, since it is smaller than the sum of its proper divisors (27899000798880).

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

11440012230240 is a wasteful number, since it uses less digits than its factorization.

11440012230240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486525 (or 1486517 counting only the distinct ones).

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

Adding to 11440012230240 its reverse (4203221004411), we get a palindrome (15643233234651).

The spelling of 11440012230240 in words is "eleven trillion, four hundred forty billion, twelve million, two hundred thirty thousand, two hundred forty".