13460683991040 has 3456 divisors, whose sum is σ = 60616045526400. Its totient is φ = 2837879193600.

The previous prime is 13460683990969. The next prime is 13460683991087. The reversal of 13460683991040 is 4019938606431.

13460683991040 is a `hidden beast` number, since 1 + 3 + 460 + 6 + 83 + 99 + 10 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 287 ways as a sum of consecutive naturals, for example, 74368419750 + ... + 74368419930.

It is an arithmetic number, because the mean of its divisors is an integer number (17539365025).

Almost surely, 2^{13460683991040} is an apocalyptic number.

13460683991040 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 13460683991040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30308022763200).

13460683991040 is an abundant number, since it is smaller than the sum of its proper divisors (47155361535360).

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

13460683991040 is a wasteful number, since it uses less digits than its factorization.

13460683991040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 13460683991040 in words is "thirteen trillion, four hundred sixty billion, six hundred eighty-three million, nine hundred ninety-one thousand, forty".