13194610316040 has 256 divisors, whose sum is σ = 40953998131200. Its totient is φ = 3397298918400.

The previous prime is 13194610316029. The next prime is 13194610316093. The reversal of 13194610316040 is 4061301649131.

It is a self number, because there is not a number n which added to its sum of digits gives 13194610316040.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3726236670 + ... + 3726240210.

It is an arithmetic number, because the mean of its divisors is an integer number (159976555200).

Almost surely, 2^{13194610316040} is an apocalyptic number.

13194610316040 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 13194610316040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20476999065600).

13194610316040 is an abundant number, since it is smaller than the sum of its proper divisors (27759387815160).

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

13194610316040 is a wasteful number, since it uses less digits than its factorization.

13194610316040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5588 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The spelling of 13194610316040 in words is "thirteen trillion, one hundred ninety-four billion, six hundred ten million, three hundred sixteen thousand, forty".