13214024240 has 80 divisors (see below), whose sum is σ = 32407806720. Its totient is φ = 4996857600.

The previous prime is 13214024233. The next prime is 13214024249. The reversal of 13214024240 is 4242041231.

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

It is a super-2 number, since 2×13214024240² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13214024249) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 731315 + ... + 749165.

It is an arithmetic number, because the mean of its divisors is an integer number (405097584).

Almost surely, 2^13214024240 is an apocalyptic number.

13214024240 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 13214024240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16203903360).

13214024240 is an abundant number, since it is smaller than the sum of its proper divisors (19193782480).

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

13214024240 is a wasteful number, since it uses less digits than its factorization.

13214024240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18370 (or 18364 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 23.

Adding to 13214024240 its reverse (4242041231), we get a palindrome (17456065471).

The spelling of 13214024240 in words is "thirteen billion, two hundred fourteen million, twenty-four thousand, two hundred forty".