13260042432 has 672 divisors, whose sum is σ = 51763525632. Its totient is φ = 3143467008.

The previous prime is 13260042413. The next prime is 13260042437. The reversal of 13260042432 is 23424006231.

13260042432 is a `hidden beast` number, since 1 + 3 + 2 + 600 + 4 + 24 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 13260042396 and 13260042405.

It is not an unprimeable number, because it can be changed into a prime (13260042437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20494333 + ... + 20494979.

It is an arithmetic number, because the mean of its divisors is an integer number (77029056).

Almost surely, 2^13260042432 is an apocalyptic number.

13260042432 is a gapful number since it is divisible by the number (12) 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 13260042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25881762816).

13260042432 is an abundant number, since it is smaller than the sum of its proper divisors (38503483200).

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

13260042432 is a wasteful number, since it uses less digits than its factorization.

13260042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 712 counting only the distinct ones).

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

Adding to 13260042432 its reverse (23424006231), we get a palindrome (36684048663).

The spelling of 13260042432 in words is "thirteen billion, two hundred sixty million, forty-two thousand, four hundred thirty-two".