13414113413200 has 60 divisors (see below), whose sum is σ = 32443698944700. Its totient is φ = 5329634298880.

The previous prime is 13414113413177. The next prime is 13414113413201. The reversal of 13414113413200 is 231431141431.

It can be written as a sum of positive squares in 6 ways, for example, as 991195465744 + 12422917947456 = 995588^2 + 3524616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13414113413201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 112474909 + ... + 112594108.

It is an arithmetic number, because the mean of its divisors is an integer number (540728315745).

Almost surely, 2^{13414113413200} is an apocalyptic number.

13414113413200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13414113413200 is an abundant number, since it is smaller than the sum of its proper divisors (19029585531500).

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

13414113413200 is a wasteful number, since it uses less digits than its factorization.

13414113413200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225069184 (or 225069173 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 13414113413200 its reverse (231431141431), we get a palindrome (13645544554631).

The spelling of 13414113413200 in words is "thirteen trillion, four hundred fourteen billion, one hundred thirteen million, four hundred thirteen thousand, two hundred".