13340435400012 has 288 divisors, whose sum is σ = 38103705239040. Its totient is φ = 3548503296000.

The previous prime is 13340435400001. The next prime is 13340435400013. The reversal of 13340435400012 is 21000453404331.

It is not an unprimeable number, because it can be changed into a prime (13340435400013) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2230466062 + ... + 2230472042.

It is an arithmetic number, because the mean of its divisors is an integer number (132304532080).

Almost surely, 2^{13340435400012} is an apocalyptic number.

13340435400012 is a gapful number since it is divisible by the number (12) 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 13340435400012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19051852619520).

13340435400012 is an abundant number, since it is smaller than the sum of its proper divisors (24763269839028).

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

13340435400012 is a wasteful number, since it uses less digits than its factorization.

13340435400012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6353 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 13340435400012 its reverse (21000453404331), we get a palindrome (34340888804343).

The spelling of 13340435400012 in words is "thirteen trillion, three hundred forty billion, four hundred thirty-five million, four hundred thousand, twelve".