13412455104320 has 224 divisors, whose sum is σ = 32286904435968. Its totient is φ = 5306834092032.

The previous prime is 13412455104197. The next prime is 13412455104343. The reversal of 13412455104320 is 2340155421431.

13412455104320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18449043797 + ... + 18449044523.

It is an arithmetic number, because the mean of its divisors is an integer number (144137966232).

Almost surely, 2^{13412455104320} is an apocalyptic number.

13412455104320 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 13412455104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16143452217984).

13412455104320 is an abundant number, since it is smaller than the sum of its proper divisors (18874449331648).

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

13412455104320 is a wasteful number, since it uses less digits than its factorization.

13412455104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The spelling of 13412455104320 in words is "thirteen trillion, four hundred twelve billion, four hundred fifty-five million, one hundred four thousand, three hundred twenty".