13410928394240 has 512 divisors, whose sum is σ = 35707683211200. Its totient is φ = 4803904143360.

The previous prime is 13410928394233. The next prime is 13410928394243. The reversal of 13410928394240 is 4249382901431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13410928394243) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16577166956 + ... + 16577167764.

Almost surely, 2^{13410928394240} is an apocalyptic number.

13410928394240 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 13410928394240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853841605600).

13410928394240 is an abundant number, since it is smaller than the sum of its proper divisors (22296754816960).

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

13410928394240 is an equidigital number, since it uses as much as digits as its factorization.

13410928394240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 13410928394240 in words is "thirteen trillion, four hundred ten billion, nine hundred twenty-eight million, three hundred ninety-four thousand, two hundred forty".