13142273210640 has 360 divisors, whose sum is σ = 52594284172248. Its totient is φ = 2930680811520.

The previous prime is 13142273210623. The next prime is 13142273210663. The reversal of 13142273210640 is 4601237224131.

13142273210640 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 2 + 2 + 7 + 3 + 2 + 1 + 0 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1342965770496 + 11799307440144 = 1158864^2 + 3435012^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 = 13142273210595 and 13142273210604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3096367 + ... + 5989326.

Almost surely, 2^{13142273210640} is an apocalyptic number.

13142273210640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13142273210640 is an abundant number, since it is smaller than the sum of its proper divisors (39452010961608).

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

13142273210640 is a wasteful number, since it uses less digits than its factorization.

13142273210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085767 (or 9085751 counting only the distinct ones).

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

The spelling of 13142273210640 in words is "thirteen trillion, one hundred forty-two billion, two hundred seventy-three million, two hundred ten thousand, six hundred forty".