13296601440 has 192 divisors, whose sum is σ = 46593792000. Its totient is φ = 3541519872.

The previous prime is 13296601393. The next prime is 13296601441. The reversal of 13296601440 is 4410669231.

13296601440 is a `hidden beast` number, since 1 + 3 + 2 + 9 + 6 + 601 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13296601395 and 13296601404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13296601441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5541361 + ... + 5543759.

It is an arithmetic number, because the mean of its divisors is an integer number (242676000).

Almost surely, 2^13296601440 is an apocalyptic number.

13296601440 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 13296601440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23296896000).

13296601440 is an abundant number, since it is smaller than the sum of its proper divisors (33297190560).

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

13296601440 is a wasteful number, since it uses less digits than its factorization.

13296601440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3706 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13296601440 in words is "thirteen billion, two hundred ninety-six million, six hundred one thousand, four hundred forty".