13124414341440 has 336 divisors, whose sum is σ = 46439193595392. Its totient is φ = 3399626723328.

The previous prime is 13124414341433. The next prime is 13124414341447. The reversal of 13124414341440 is 4414341442131.

13124414341440 is a `hidden beast` number, since 1 + 3 + 124 + 41 + 43 + 414 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (13124414341433) and next prime (13124414341447).

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 = 13124414341395 and 13124414341404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13124414341447) 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, 64580467 + ... + 64783373.

Almost surely, 2^{13124414341440} is an apocalyptic number.

13124414341440 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 13124414341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23219596797696).

13124414341440 is an abundant number, since it is smaller than the sum of its proper divisors (33314779253952).

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

13124414341440 is a wasteful number, since it uses less digits than its factorization.

13124414341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203574 (or 203561 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

Adding to 13124414341440 its reverse (4414341442131), we get a palindrome (17538755783571).

The spelling of 13124414341440 in words is "thirteen trillion, one hundred twenty-four billion, four hundred fourteen million, three hundred forty-one thousand, four hundred forty".