13234314240 has 528 divisors, whose sum is σ = 53111298240. Its totient is φ = 2984509440.

The previous prime is 13234314239. The next prime is 13234314257. The reversal of 13234314240 is 4241343231.

13234314240 is a `hidden beast` number, since 1 + 3 + 234 + 3 + 1 + 424 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28707610 + ... + 28708070.

It is an arithmetic number, because the mean of its divisors is an integer number (100589580).

Almost surely, 2^13234314240 is an apocalyptic number.

13234314240 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 13234314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26555649120).

13234314240 is an abundant number, since it is smaller than the sum of its proper divisors (39876984000).

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

13234314240 is a wasteful number, since it uses less digits than its factorization.

13234314240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 13234314240 its reverse (4241343231), we get a palindrome (17475657471).

The spelling of 13234314240 in words is "thirteen billion, two hundred thirty-four million, three hundred fourteen thousand, two hundred forty".