13441553312320 has 448 divisors, whose sum is σ = 37750947526656. Its totient is φ = 4463528509440.

The previous prime is 13441553312279. The next prime is 13441553312333. The reversal of 13441553312320 is 2321335514431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 13441553312320.

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 63 ways as a sum of consecutive naturals, for example, 5331832660 + ... + 5331835180.

It is an arithmetic number, because the mean of its divisors is an integer number (84265507872).

Almost surely, 2^{13441553312320} is an apocalyptic number.

13441553312320 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 13441553312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18875473763328).

13441553312320 is an abundant number, since it is smaller than the sum of its proper divisors (24309394214336).

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

13441553312320 is a wasteful number, since it uses less digits than its factorization.

13441553312320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 37.

Adding to 13441553312320 its reverse (2321335514431), we get a palindrome (15762888826751).

The spelling of 13441553312320 in words is "thirteen trillion, four hundred forty-one billion, five hundred fifty-three million, three hundred twelve thousand, three hundred twenty".