11141112040 has 64 divisors (see below), whose sum is σ = 25933536720. Its totient is φ = 4304640000.

The previous prime is 11141112019. The next prime is 11141112079. The reversal of 11141112040 is 4021114111.

It can be written as a sum of positive squares in 8 ways, for example, as 6275491524 + 4865620516 = 79218^2 + 69754^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132010 + ... + 199270.

Almost surely, 2^11141112040 is an apocalyptic number.

11141112040 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 11141112040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12966768360).

11141112040 is an abundant number, since it is smaller than the sum of its proper divisors (14792424680).

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

11141112040 is a wasteful number, since it uses less digits than its factorization.

11141112040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67414 (or 67410 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 11141112040 its reverse (4021114111), we get a palindrome (15162226151).

The spelling of 11141112040 in words is "eleven billion, one hundred forty-one million, one hundred twelve thousand, forty".