13434240414 has 64 divisors (see below), whose sum is σ = 31746281472. Its totient is φ = 3708806400.

The previous prime is 13434240341. The next prime is 13434240419. The reversal of 13434240414 is 41404243431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13434240419) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 873834 + ... + 889074.

It is an arithmetic number, because the mean of its divisors is an integer number (496035648).

Almost surely, 2^13434240414 is an apocalyptic number.

13434240414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13434240414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873140736).

13434240414 is an abundant number, since it is smaller than the sum of its proper divisors (18312041058).

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

13434240414 is a wasteful number, since it uses less digits than its factorization.

13434240414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15961.

The product of its (nonzero) digits is 18432, while the sum is 30.

Adding to 13434240414 its reverse (41404243431), we get a palindrome (54838483845).

The spelling of 13434240414 in words is "thirteen billion, four hundred thirty-four million, two hundred forty thousand, four hundred fourteen".