13004868240 has 480 divisors, whose sum is σ = 54509844480. Its totient is φ = 2705301504.

The previous prime is 13004868229. The next prime is 13004868259. The reversal of 13004868240 is 4286840031.

13004868240 is a `hidden beast` number, since 130 + 0 + 486 + 8 + 2 + 40 = 666.

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 = 13004868195 and 13004868204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4781601 + ... + 4784319.

It is an arithmetic number, because the mean of its divisors is an integer number (113562176).

Almost surely, 2^13004868240 is an apocalyptic number.

13004868240 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 13004868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27254922240).

13004868240 is an abundant number, since it is smaller than the sum of its proper divisors (41504976240).

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

13004868240 is a wasteful number, since it uses less digits than its factorization.

13004868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2831 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13004868240 in words is "thirteen billion, four million, eight hundred sixty-eight thousand, two hundred forty".