11114104320240 has 320 divisors, whose sum is σ = 37638440985600. Its totient is φ = 2702227046400.

The previous prime is 11114104320223. The next prime is 11114104320247. The reversal of 11114104320240 is 4202340141111.

It is a happy number.

11114104320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11114104320240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114104320247) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40991520 + ... + 41261760.

It is an arithmetic number, because the mean of its divisors is an integer number (117620128080).

Almost surely, 2^{11114104320240} is an apocalyptic number.

11114104320240 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 11114104320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18819220492800).

11114104320240 is an abundant number, since it is smaller than the sum of its proper divisors (26524336665360).

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

11114104320240 is a wasteful number, since it uses less digits than its factorization.

11114104320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270616 (or 270610 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 11114104320240 its reverse (4202340141111), we get a palindrome (15316444461351).

The spelling of 11114104320240 in words is "eleven trillion, one hundred fourteen billion, one hundred four million, three hundred twenty thousand, two hundred forty".