13242133440 has 168 divisors, whose sum is σ = 46516991040. Its totient is φ = 3456067584.

The previous prime is 13242133379. The next prime is 13242133447. The reversal of 13242133440 is 4433124231.

13242133440 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 213 + 3 + 440 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13242133447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86446 + ... + 184274.

Almost surely, 2^13242133440 is an apocalyptic number.

13242133440 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 13242133440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23258495520).

13242133440 is an abundant number, since it is smaller than the sum of its proper divisors (33274857600).

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

13242133440 is a wasteful number, since it uses less digits than its factorization.

13242133440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97899 (or 97886 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13242133440 its reverse (4433124231), we get a palindrome (17675257671).

The spelling of 13242133440 in words is "thirteen billion, two hundred forty-two million, one hundred thirty-three thousand, four hundred forty".