13410504400000 has 192 divisors, whose sum is σ = 35357483304360. Its totient is φ = 5048657920000.

The previous prime is 13410504399979. The next prime is 13410504400021. The reversal of 13410504400000 is 440501431.

It is an interprime number because it is at equal distance from previous prime (13410504399979) and next prime (13410504400021).

It can be written as a sum of positive squares in 12 ways, for example, as 1442170417216 + 11968333982784 = 1200904^2 + 3459528^2 .

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 23 ways as a sum of consecutive naturals, for example, 5813934 + ... + 7786066.

Almost surely, 2^{13410504400000} is an apocalyptic number.

13410504400000 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 13410504400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17678741652180).

13410504400000 is an abundant number, since it is smaller than the sum of its proper divisors (21946978904360).

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

13410504400000 is an frugal number, since it uses more digits than its factorization.

13410504400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972189 (or 1972157 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13410504400000 its reverse (440501431), we get a palindrome (13410944901431).

The spelling of 13410504400000 in words is "thirteen trillion, four hundred ten billion, five hundred four million, four hundred thousand".