13221703340640 has 240 divisors, whose sum is σ = 47029014692352. Its totient is φ = 3498025015296.

The previous prime is 13221703340633. The next prime is 13221703340641. The reversal of 13221703340640 is 4604330712231.

13221703340640 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 7 + 0 + 3 + 3 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 13221703340595 and 13221703340604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13221703340641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2370589 + ... + 5662428.

Almost surely, 2^{13221703340640} is an apocalyptic number.

13221703340640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13221703340640 is an abundant number, since it is smaller than the sum of its proper divisors (33807311351712).

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

13221703340640 is a wasteful number, since it uses less digits than its factorization.

13221703340640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8033171 (or 8033154 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 13221703340640 in words is "thirteen trillion, two hundred twenty-one billion, seven hundred three million, three hundred forty thousand, six hundred forty".