11123443405140 has 288 divisors, whose sum is σ = 35028066028032. Its totient is φ = 2634295910400.

The previous prime is 11123443405133. The next prime is 11123443405141. The reversal of 11123443405140 is 4150434432111.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11123443405141) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 184569892 + ... + 184630148.

It is an arithmetic number, because the mean of its divisors is an integer number (121625229264).

Almost surely, 2^{11123443405140} is an apocalyptic number.

11123443405140 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 11123443405140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17514033014016).

11123443405140 is an abundant number, since it is smaller than the sum of its proper divisors (23904622622892).

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

11123443405140 is a wasteful number, since it uses less digits than its factorization.

11123443405140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60879 (or 60866 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

Adding to 11123443405140 its reverse (4150434432111), we get a palindrome (15273877837251).

The spelling of 11123443405140 in words is "eleven trillion, one hundred twenty-three billion, four hundred forty-three million, four hundred five thousand, one hundred forty".