11141234040 has 128 divisors (see below), whose sum is σ = 34913203200. Its totient is φ = 2838865920.

The previous prime is 11141233991. The next prime is 11141234047. The reversal of 11141234040 is 4043214111.

It is a junction number, because it is equal to n+sod(n) for n = 11141233998 and 11141234016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11141234047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4108285 + ... + 4110995.

It is an arithmetic number, because the mean of its divisors is an integer number (272759400).

Almost surely, 2^11141234040 is an apocalyptic number.

11141234040 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 11141234040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17456601600).

11141234040 is an abundant number, since it is smaller than the sum of its proper divisors (23771969160).

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

11141234040 is a wasteful number, since it uses less digits than its factorization.

11141234040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4237 (or 4233 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 11141234040 its reverse (4043214111), we get a palindrome (15184448151).

The spelling of 11141234040 in words is "eleven billion, one hundred forty-one million, two hundred thirty-four thousand, forty".