11141245440 has 400 divisors, whose sum is σ = 42984389448. Its totient is φ = 2741796864.

The previous prime is 11141245429. The next prime is 11141245513. The reversal of 11141245440 is 4454214111.

It is a happy number.

11141245440 is a `hidden beast` number, since 1 + 114 + 1 + 2 + 4 + 544 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8256266496 + 2884978944 = 90864^2 + 53712^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2693614 + ... + 2697746.

Almost surely, 2^11141245440 is an apocalyptic number.

11141245440 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 11141245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21492194724).

11141245440 is an abundant number, since it is smaller than the sum of its proper divisors (31843144008).

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

11141245440 is an equidigital number, since it uses as much as digits as its factorization.

11141245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4181 (or 4156 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

Adding to 11141245440 its reverse (4454214111), we get a palindrome (15595459551).

The spelling of 11141245440 in words is "eleven billion, one hundred forty-one million, two hundred forty-five thousand, four hundred forty".