13468340386410 has 512 divisors, whose sum is σ = 41333282242560. Its totient is φ = 2732225126400.

The previous prime is 13468340386387. The next prime is 13468340386429. The reversal of 13468340386410 is 1468304386431.

It is a super-2 number, since 2×13468340386410² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 10448673046 + ... + 10448674334.

It is an arithmetic number, because the mean of its divisors is an integer number (80729066880).

Almost surely, 2^{13468340386410} is an apocalyptic number.

13468340386410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13468340386410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20666641121280).

13468340386410 is an abundant number, since it is smaller than the sum of its proper divisors (27864941856150).

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

13468340386410 is a wasteful number, since it uses less digits than its factorization.

13468340386410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054.

The product of its (nonzero) digits is 3981312, while the sum is 51.

The spelling of 13468340386410 in words is "thirteen trillion, four hundred sixty-eight billion, three hundred forty million, three hundred eighty-six thousand, four hundred ten".