13341620114640 has 320 divisors, whose sum is σ = 46558962892800. Its totient is φ = 3554924060160.

The previous prime is 13341620114633. The next prime is 13341620114653. The reversal of 13341620114640 is 4641102614331.

13341620114640 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 1 + 6 + 2 + 0 + 1 + 1 + 4 + 640 = 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 = 13341620114595 and 13341620114604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 223744030 + ... + 223803650.

It is an arithmetic number, because the mean of its divisors is an integer number (145496759040).

Almost surely, 2^{13341620114640} is an apocalyptic number.

13341620114640 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 13341620114640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279481446400).

13341620114640 is an abundant number, since it is smaller than the sum of its proper divisors (33217342778160).

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

13341620114640 is an equidigital number, since it uses as much as digits as its factorization.

13341620114640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60934 (or 60910 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 13341620114640 its reverse (4641102614331), we get a palindrome (17982722728971).

The spelling of 13341620114640 in words is "thirteen trillion, three hundred forty-one billion, six hundred twenty million, one hundred fourteen thousand, six hundred forty".