11104013114340 has 288 divisors, whose sum is σ = 35177972215680. Its totient is φ = 2600784654336.

The previous prime is 11104013114303. The next prime is 11104013114371. The reversal of 11104013114340 is 4341131040111.

11104013114340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11104013114340.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 86933002 + ... + 87060638.

It is an arithmetic number, because the mean of its divisors is an integer number (122145736860).

Almost surely, 2^{11104013114340} is an apocalyptic number.

11104013114340 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 11104013114340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17588986107840).

11104013114340 is an abundant number, since it is smaller than the sum of its proper divisors (24073959101340).

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

11104013114340 is a wasteful number, since it uses less digits than its factorization.

11104013114340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127819 (or 127750 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 11104013114340 its reverse (4341131040111), we get a palindrome (15445144154451).

The spelling of 11104013114340 in words is "eleven trillion, one hundred four billion, thirteen million, one hundred fourteen thousand, three hundred forty".