11541433140 has 144 divisors (see below), whose sum is σ = 35272565328. Its totient is φ = 3054661632.

The previous prime is 11541433139. The next prime is 11541433151. The reversal of 11541433140 is 4133414511.

11541433140 is a `hidden beast` number, since 11 + 541 + 43 + 31 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 387538596 + 11153894544 = 19686^2 + 105612^2 .

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 26654364 + ... + 26654796.

Almost surely, 2^11541433140 is an apocalyptic number.

11541433140 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 11541433140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17636282664).

11541433140 is an abundant number, since it is smaller than the sum of its proper divisors (23731132188).

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

11541433140 is a wasteful number, since it uses less digits than its factorization.

11541433140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218 (or 1213 counting only the distinct ones).

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

Adding to 11541433140 its reverse (4133414511), we get a palindrome (15674847651).

The spelling of 11541433140 in words is "eleven billion, five hundred forty-one million, four hundred thirty-three thousand, one hundred forty".