13368504240 has 480 divisors, whose sum is σ = 55575776256. Its totient is φ = 2804336640.

The previous prime is 13368504229. The next prime is 13368504241. The reversal of 13368504240 is 4240586331.

13368504240 is a `hidden beast` number, since 1 + 3 + 368 + 50 + 4 + 240 = 666.

It is a super-2 number, since 2×13368504240² (a number of 21 digits) contains 22 as substring.

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 = 13368504195 and 13368504204.

It is not an unprimeable number, because it can be changed into a prime (13368504241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13824237 + ... + 13825203.

Almost surely, 2^13368504240 is an apocalyptic number.

13368504240 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 13368504240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27787888128).

13368504240 is an abundant number, since it is smaller than the sum of its proper divisors (42207272016).

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

13368504240 is a wasteful number, since it uses less digits than its factorization.

13368504240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 13368504240 in words is "thirteen billion, three hundred sixty-eight million, five hundred four thousand, two hundred forty".