11135413440 has 560 divisors, whose sum is σ = 43137258912. Its totient is φ = 2715254784.

The previous prime is 11135413433. The next prime is 11135413451. The reversal of 11135413440 is 4431453111.

11135413440 is a `hidden beast` number, since 1 + 113 + 541 + 3 + 4 + 4 + 0 = 666.

11135413440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16303339 + ... + 16304021.

Almost surely, 2^11135413440 is an apocalyptic number.

11135413440 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 11135413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21568629456).

11135413440 is an abundant number, since it is smaller than the sum of its proper divisors (32001845472).

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

11135413440 is a wasteful number, since it uses less digits than its factorization.

11135413440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 766 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 11135413440 its reverse (4431453111), we get a palindrome (15566866551).

The spelling of 11135413440 in words is "eleven billion, one hundred thirty-five million, four hundred thirteen thousand, four hundred forty".