11141103540 has 144 divisors (see below), whose sum is σ = 36407109312. Its totient is φ = 2538192384.

The previous prime is 11141103497. The next prime is 11141103563. The reversal of 11141103540 is 4530114111.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 914167 + ... + 926273.

It is an arithmetic number, because the mean of its divisors is an integer number (252827148).

Almost surely, 2^11141103540 is an apocalyptic number.

11141103540 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 11141103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18203554656).

11141103540 is an abundant number, since it is smaller than the sum of its proper divisors (25266005772).

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

11141103540 is a wasteful number, since it uses less digits than its factorization.

11141103540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12437 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 11141103540 its reverse (4530114111), we get a palindrome (15671217651).

The spelling of 11141103540 in words is "eleven billion, one hundred forty-one million, one hundred three thousand, five hundred forty".