13324861440 has 720 divisors, whose sum is σ = 52997607936. Its totient is φ = 3067084800.

The previous prime is 13324861399. The next prime is 13324861447. The reversal of 13324861440 is 4416842331.

13324861440 is a `hidden beast` number, since 1 + 3 + 32 + 4 + 8 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 13324861395 and 13324861404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13324861447) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 251412454 + ... + 251412506.

Almost surely, 2^13324861440 is an apocalyptic number.

13324861440 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 13324861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26498803968).

13324861440 is an abundant number, since it is smaller than the sum of its proper divisors (39672746496).

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

13324861440 is a wasteful number, since it uses less digits than its factorization.

13324861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 13324861440 in words is "thirteen billion, three hundred twenty-four million, eight hundred sixty-one thousand, four hundred forty".