13204020240 has 120 divisors (see below), whose sum is σ = 44800887768. Its totient is φ = 3484753920.

The previous prime is 13204020239. The next prime is 13204020257. The reversal of 13204020240 is 4202040231.

13204020240 is a `hidden beast` number, since 1 + 3 + 20 + 402 + 0 + 240 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 227165184 + 12976855056 = 15072^2 + 113916^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 24691 + ... + 164370.

Almost surely, 2^13204020240 is an apocalyptic number.

13204020240 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 13204020240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22400443884).

13204020240 is an abundant number, since it is smaller than the sum of its proper divisors (31596867528).

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

13204020240 is a wasteful number, since it uses less digits than its factorization.

13204020240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189177 (or 189168 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 13204020240 its reverse (4202040231), we get a palindrome (17406060471).

The spelling of 13204020240 in words is "thirteen billion, two hundred four million, twenty thousand, two hundred forty".