13411100014400 has 168 divisors, whose sum is σ = 36228964266336. Its totient is φ = 4845700454400.

The previous prime is 13411100014381. The next prime is 13411100014409. The reversal of 13411100014400 is 441000111431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13411100014409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 336467 + ... + 5189933.

Almost surely, 2^{13411100014400} is an apocalyptic number.

13411100014400 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 13411100014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18114482133168).

13411100014400 is an abundant number, since it is smaller than the sum of its proper divisors (22817864251936).

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

13411100014400 is a wasteful number, since it uses less digits than its factorization.

13411100014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853657 (or 4853642 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13411100014400 its reverse (441000111431), we get a palindrome (13852100125831).

The spelling of 13411100014400 in words is "thirteen trillion, four hundred eleven billion, one hundred million, fourteen thousand, four hundred".