13411415314110 has 128 divisors (see below), whose sum is σ = 35317336435200. Its totient is φ = 3232434885120.

The previous prime is 13411415314109. The next prime is 13411415314123. The reversal of 13411415314110 is 1141351411431.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 39478056 + ... + 39816324.

It is an arithmetic number, because the mean of its divisors is an integer number (275916690900).

Almost surely, 2^{13411415314110} is an apocalyptic number.

13411415314110 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 13411415314110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17658668217600).

13411415314110 is an abundant number, since it is smaller than the sum of its proper divisors (21905921121090).

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

13411415314110 is a wasteful number, since it uses less digits than its factorization.

13411415314110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338986.

The product of its (nonzero) digits is 2880, while the sum is 30.

Adding to 13411415314110 its reverse (1141351411431), we get a palindrome (14552766725541).

The spelling of 13411415314110 in words is "thirteen trillion, four hundred eleven billion, four hundred fifteen million, three hundred fourteen thousand, one hundred ten".