13414401300300 has 576 divisors, whose sum is σ = 52127567622144. Its totient is φ = 2572207027200.

The previous prime is 13414401300299. The next prime is 13414401300319. The reversal of 13414401300300 is 300310441431.

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 191 ways as a sum of consecutive naturals, for example, 1646540827 + ... + 1646548973.

It is an arithmetic number, because the mean of its divisors is an integer number (90499249344).

Almost surely, 2^{13414401300300} is an apocalyptic number.

13414401300300 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 13414401300300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26063783811072).

13414401300300 is an abundant number, since it is smaller than the sum of its proper divisors (38713166321844).

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

13414401300300 is a wasteful number, since it uses less digits than its factorization.

13414401300300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13678 (or 13671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13414401300300 its reverse (300310441431), we get a palindrome (13714711741731).

The spelling of 13414401300300 in words is "thirteen trillion, four hundred fourteen billion, four hundred one million, three hundred thousand, three hundred".