13408257240 has 160 divisors (see below), whose sum is σ = 51504821280. Its totient is φ = 3064739328.

The previous prime is 13408257217. The next prime is 13408257241. The reversal of 13408257240 is 4275280431.

It is a happy number.

13408257240 is a `hidden beast` number, since 1 + 3 + 4 + 0 + 82 + 572 + 4 + 0 = 666.

13408257240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13408257195 and 13408257204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13408257241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 272917 + ... + 318276.

It is an arithmetic number, because the mean of its divisors is an integer number (321905133).

Almost surely, 2^13408257240 is an apocalyptic number.

13408257240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13408257240 is an abundant number, since it is smaller than the sum of its proper divisors (38096564040).

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

13408257240 is a wasteful number, since it uses less digits than its factorization.

13408257240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591223 (or 591210 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 13408257240 in words is "thirteen billion, four hundred eight million, two hundred fifty-seven thousand, two hundred forty".