13200354415400 has 192 divisors, whose sum is σ = 33203676168000. Its totient is φ = 4862146867200.

The previous prime is 13200354415379. The next prime is 13200354415453. The reversal of 13200354415400 is 451445300231.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 42170666 + ... + 42482534.

It is an arithmetic number, because the mean of its divisors is an integer number (172935813375).

Almost surely, 2^{13200354415400} is an apocalyptic number.

13200354415400 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 13200354415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16601838084000).

13200354415400 is an abundant number, since it is smaller than the sum of its proper divisors (20003321752600).

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

13200354415400 is a wasteful number, since it uses less digits than its factorization.

13200354415400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312172 (or 312163 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 13200354415400 its reverse (451445300231), we get a palindrome (13651799715631).

The spelling of 13200354415400 in words is "thirteen trillion, two hundred billion, three hundred fifty-four million, four hundred fifteen thousand, four hundred".