13170263040 has 440 divisors, whose sum is σ = 51503044032. Its totient is φ = 3191685120.

The previous prime is 13170263039. The next prime is 13170263047. The reversal of 13170263040 is 4036207131.

13170263040 is a `hidden beast` number, since 13 + 17 + 0 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13170262995 and 13170263013.

It is not an unprimeable number, because it can be changed into a prime (13170263047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4560477 + ... + 4563363.

Almost surely, 2^13170263040 is an apocalyptic number.

13170263040 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 13170263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25751522016).

13170263040 is an abundant number, since it is smaller than the sum of its proper divisors (38332780992).

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

13170263040 is a wasteful number, since it uses less digits than its factorization.

13170263040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2935 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13170263040 in words is "thirteen billion, one hundred seventy million, two hundred sixty-three thousand, forty".