13400204240 has 40 divisors (see below), whose sum is σ = 31162095528. Its totient is φ = 5358942720.

The previous prime is 13400204161. The next prime is 13400204249. The reversal of 13400204240 is 4240200431.

It can be written as a sum of positive squares in 4 ways, for example, as 347598736 + 13052605504 = 18644^2 + 114248^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400204249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431474 + ... + 461486.

Almost surely, 2^13400204240 is an apocalyptic number.

13400204240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13400204240 is an abundant number, since it is smaller than the sum of its proper divisors (17761891288).

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

13400204240 is a wasteful number, since it uses less digits than its factorization.

13400204240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35607 (or 35601 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 13400204240 its reverse (4240200431), we get a palindrome (17640404671).

The spelling of 13400204240 in words is "thirteen billion, four hundred million, two hundred four thousand, two hundred forty".