13324431322440 has 384 divisors, whose sum is σ = 51136143851520. Its totient is φ = 2944517184000.

The previous prime is 13324431322403. The next prime is 13324431322507. The reversal of 13324431322440 is 4422313442331.

13324431322440 is a `hidden beast` number, since 1 + 3 + 324 + 4 + 3 + 1 + 322 + 4 + 4 + 0 = 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 = 13324431322395 and 13324431322404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82022977 + ... + 82185263.

It is an arithmetic number, because the mean of its divisors is an integer number (133167041280).

Almost surely, 2^{13324431322440} is an apocalyptic number.

13324431322440 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 13324431322440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25568071925760).

13324431322440 is an abundant number, since it is smaller than the sum of its proper divisors (37811712529080).

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

13324431322440 is a wasteful number, since it uses less digits than its factorization.

13324431322440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163393 (or 163386 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 13324431322440 its reverse (4422313442331), we get a palindrome (17746744764771).

The spelling of 13324431322440 in words is "thirteen trillion, three hundred twenty-four billion, four hundred thirty-one million, three hundred twenty-two thousand, four hundred forty".