13644030240 has 144 divisors (see below), whose sum is σ = 47216385216. Its totient is φ = 3587136000.

The previous prime is 13644030203. The next prime is 13644030251. The reversal of 13644030240 is 4203044631.

13644030240 is a `hidden beast` number, since 13 + 6 + 4 + 403 + 0 + 240 = 666.

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

It is a super-2 number, since 2×13644030240² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35515 + ... + 168965.

It is an arithmetic number, because the mean of its divisors is an integer number (327891564).

Almost surely, 2^13644030240 is an apocalyptic number.

13644030240 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 13644030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23608192608).

13644030240 is an abundant number, since it is smaller than the sum of its proper divisors (33572354976).

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

13644030240 is a wasteful number, since it uses less digits than its factorization.

13644030240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133543 (or 133532 counting only the distinct ones).

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

Adding to 13644030240 its reverse (4203044631), we get a palindrome (17847074871).

The spelling of 13644030240 in words is "thirteen billion, six hundred forty-four million, thirty thousand, two hundred forty".