13341413340 has 288 divisors, whose sum is σ = 44951578560. Its totient is φ = 3283218432.

The previous prime is 13341413339. The next prime is 13341413353. The reversal of 13341413340 is 4331414331.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8270374 + ... + 8271986.

It is an arithmetic number, because the mean of its divisors is an integer number (156081870).

Almost surely, 2^13341413340 is an apocalyptic number.

13341413340 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 13341413340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22475789280).

13341413340 is an abundant number, since it is smaller than the sum of its proper divisors (31610165220).

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

13341413340 is a wasteful number, since it uses less digits than its factorization.

13341413340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1718 (or 1693 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13341413340 its reverse (4331414331), we get a palindrome (17672827671).

Subtracting from 13341413340 its reverse (4331414331), we obtain a palindrome (9009999009).

The spelling of 13341413340 in words is "thirteen billion, three hundred forty-one million, four hundred thirteen thousand, three hundred forty".