11103032401440 has 192 divisors, whose sum is σ = 39980837433600. Its totient is φ = 2537206087680.

The previous prime is 11103032401381. The next prime is 11103032401451. The reversal of 11103032401440 is 4410423030111.

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 11103032401440.

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, 13196580 + ... + 14012700.

It is an arithmetic number, because the mean of its divisors is an integer number (208233528300).

Almost surely, 2^{11103032401440} is an apocalyptic number.

11103032401440 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 11103032401440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19990418716800).

11103032401440 is an abundant number, since it is smaller than the sum of its proper divisors (28877805032160).

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

11103032401440 is a wasteful number, since it uses less digits than its factorization.

11103032401440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820195 (or 820187 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 11103032401440 its reverse (4410423030111), we get a palindrome (15513455431551).

The spelling of 11103032401440 in words is "eleven trillion, one hundred three billion, thirty-two million, four hundred one thousand, four hundred forty".