13412005210240 has 512 divisors, whose sum is σ = 40576704537600. Its totient is φ = 4126279532544.

The previous prime is 13412005210223. The next prime is 13412005210271. The reversal of 13412005210240 is 4201250021431.

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 63 ways as a sum of consecutive naturals, for example, 336432549 + ... + 336472411.

It is an arithmetic number, because the mean of its divisors is an integer number (79251376050).

Almost surely, 2^{13412005210240} is an apocalyptic number.

13412005210240 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 13412005210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20288352268800).

13412005210240 is an abundant number, since it is smaller than the sum of its proper divisors (27164699327360).

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

13412005210240 is a wasteful number, since it uses less digits than its factorization.

13412005210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40064 (or 40052 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 13412005210240 its reverse (4201250021431), we get a palindrome (17613255231671).

The spelling of 13412005210240 in words is "thirteen trillion, four hundred twelve billion, five million, two hundred ten thousand, two hundred forty".