13412355440 has 80 divisors (see below), whose sum is σ = 34209060480. Its totient is φ = 4849916160.

The previous prime is 13412355433. The next prime is 13412355457. The reversal of 13412355440 is 4455321431.

13412355440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 13412355397 and 13412355406.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 114947 + ... + 200093.

It is an arithmetic number, because the mean of its divisors is an integer number (427613256).

Almost surely, 2^13412355440 is an apocalyptic number.

13412355440 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 13412355440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104530240).

13412355440 is an abundant number, since it is smaller than the sum of its proper divisors (20796705040).

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

13412355440 is a wasteful number, since it uses less digits than its factorization.

13412355440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85350 (or 85344 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

Adding to 13412355440 its reverse (4455321431), we get a palindrome (17867676871).

The spelling of 13412355440 in words is "thirteen billion, four hundred twelve million, three hundred fifty-five thousand, four hundred forty".