13210371440640 has 2880 divisors, whose sum is σ = 56224573396992. Its totient is φ = 2942985830400.

The previous prime is 13210371440551. The next prime is 13210371440641. The reversal of 13210371440640 is 4604417301231.

13210371440640 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 3 + 7 + 1 + 4 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 13210371440595 and 13210371440604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13210371440641) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 216563466210 + ... + 216563466270.

Almost surely, 2^{13210371440640} is an apocalyptic number.

13210371440640 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 13210371440640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28112286698496).

13210371440640 is an abundant number, since it is smaller than the sum of its proper divisors (43014201956352).

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

13210371440640 is an equidigital number, since it uses as much as digits as its factorization.

13210371440640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 13210371440640 its reverse (4604417301231), we get a palindrome (17814788741871).

The spelling of 13210371440640 in words is "thirteen trillion, two hundred ten billion, three hundred seventy-one million, four hundred forty thousand, six hundred forty".