13161133440 has 1152 divisors, whose sum is σ = 60568391520. Its totient is φ = 2601123840.

The previous prime is 13161133417. The next prime is 13161133441. The reversal of 13161133440 is 4433116131.

13161133440 is a `hidden beast` number, since 1 + 3 + 1 + 611 + 3 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13161133441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 62374935 + ... + 62375145.

Almost surely, 2^13161133440 is an apocalyptic number.

13161133440 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 13161133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30284195760).

13161133440 is an abundant number, since it is smaller than the sum of its proper divisors (47407258080).

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

13161133440 is a wasteful number, since it uses less digits than its factorization.

13161133440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 13161133440 its reverse (4433116131), we get a palindrome (17594249571).

The spelling of 13161133440 in words is "thirteen billion, one hundred sixty-one million, one hundred thirty-three thousand, four hundred forty".