11040124201140 has 192 divisors, whose sum is σ = 31356576792576. Its totient is φ = 2902085480448.

The previous prime is 11040124201121. The next prime is 11040124201181. The reversal of 11040124201140 is 4110242104011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 761223129 + ... + 761237631.

It is an arithmetic number, because the mean of its divisors is an integer number (163315504128).

Almost surely, 2^{11040124201140} is an apocalyptic number.

11040124201140 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 11040124201140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15678288396288).

11040124201140 is an abundant number, since it is smaller than the sum of its proper divisors (20316452591436).

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

11040124201140 is a wasteful number, since it uses less digits than its factorization.

11040124201140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15278 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 11040124201140 its reverse (4110242104011), we get a palindrome (15150366305151).

The spelling of 11040124201140 in words is "eleven trillion, forty billion, one hundred twenty-four million, two hundred one thousand, one hundred forty".