13208113440 has 144 divisors (see below), whose sum is σ = 45236770488. Its totient is φ = 3509342208.

The previous prime is 13208113439. The next prime is 13208113459. The reversal of 13208113440 is 4431180231.

13208113440 is a `hidden beast` number, since 1 + 3 + 208 + 1 + 13 + 440 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6680119824 + 6527993616 = 81732^2 + 80796^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 382324 + ... + 415436.

Almost surely, 2^13208113440 is an apocalyptic number.

13208113440 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 13208113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22618385244).

13208113440 is an abundant number, since it is smaller than the sum of its proper divisors (32028657048).

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

13208113440 is a wasteful number, since it uses less digits than its factorization.

13208113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33411 (or 33400 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 13208113440 its reverse (4431180231), we get a palindrome (17639293671).

The spelling of 13208113440 in words is "thirteen billion, two hundred eight million, one hundred thirteen thousand, four hundred forty".