11411103440000 has 240 divisors, whose sum is σ = 31224501140910. Its totient is φ = 4149488640000.

The previous prime is 11411103439999. The next prime is 11411103440029. The reversal of 11411103440000 is 4430111411.

It can be written as a sum of positive squares in 5 ways, for example, as 315116067904 + 11095987372096 = 561352^2 + 3331064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9090584 + ... + 10269416.

Almost surely, 2^{11411103440000} is an apocalyptic number.

11411103440000 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 11411103440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15612250570455).

11411103440000 is an abundant number, since it is smaller than the sum of its proper divisors (19813397700910).

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

11411103440000 is an equidigital number, since it uses as much as digits as its factorization.

11411103440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178889 (or 1178851 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 11411103440000 its reverse (4430111411), we get a palindrome (11415533551411).

The spelling of 11411103440000 in words is "eleven trillion, four hundred eleven billion, one hundred three million, four hundred forty thousand".