13410553104400 has 240 divisors, whose sum is σ = 33367659333120. Its totient is φ = 5175541094400.

The previous prime is 13410553104397. The next prime is 13410553104419. The reversal of 13410553104400 is 440135501431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1065253306 + ... + 1065265894.

It is an arithmetic number, because the mean of its divisors is an integer number (139031913888).

Almost surely, 2^{13410553104400} is an apocalyptic number.

13410553104400 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 13410553104400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16683829666560).

13410553104400 is an abundant number, since it is smaller than the sum of its proper divisors (19957106228720).

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

13410553104400 is a wasteful number, since it uses less digits than its factorization.

13410553104400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13231 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

Adding to 13410553104400 its reverse (440135501431), we get a palindrome (13850688605831).

The spelling of 13410553104400 in words is "thirteen trillion, four hundred ten billion, five hundred fifty-three million, one hundred four thousand, four hundred".