13361864040 has 96 divisors (see below), whose sum is σ = 49629790080. Its totient is φ = 3054139776.

The previous prime is 13361863997. The next prime is 13361864071. The reversal of 13361864040 is 4046816331.

It is a happy number.

13361864040 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 1 + 8 + 640 + 4 + 0 = 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 = 13361863986 and 13361864004.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2648644 + ... + 2653683.

It is an arithmetic number, because the mean of its divisors is an integer number (516976980).

Almost surely, 2^13361864040 is an apocalyptic number.

13361864040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13361864040 is an abundant number, since it is smaller than the sum of its proper divisors (36267926040).

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

13361864040 is a wasteful number, since it uses less digits than its factorization.

13361864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302351 (or 5302344 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 13361864040 in words is "thirteen billion, three hundred sixty-one million, eight hundred sixty-four thousand, forty".