13241964960 has 432 divisors, whose sum is σ = 53402364288. Its totient is φ = 2926955520.

The previous prime is 13241964959. The next prime is 13241964977. The reversal of 13241964960 is 6946914231.

13241964960 is a `hidden beast` number, since 1 + 32 + 41 + 96 + 496 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 9686197 + ... + 9687563.

It is an arithmetic number, because the mean of its divisors is an integer number (123616584).

Almost surely, 2^13241964960 is an apocalyptic number.

13241964960 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 13241964960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26701182144).

13241964960 is an abundant number, since it is smaller than the sum of its proper divisors (40160399328).

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

13241964960 is a wasteful number, since it uses less digits than its factorization.

13241964960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 13241964960 in words is "thirteen billion, two hundred forty-one million, nine hundred sixty-four thousand, nine hundred sixty".