13861364040 has 96 divisors (see below), whose sum is σ = 45068545080. Its totient is φ = 3694795776.

The previous prime is 13861364039. The next prime is 13861364047. The reversal of 13861364040 is 4046316831.

It is a happy number.

13861364040 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 1 + 3 + 640 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12806543556 + 1054820484 = 113166^2 + 32478^2 .

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 = 13861363986 and 13861364004.

It is not an unprimeable number, because it can be changed into a prime (13861364047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1021782 + ... + 1035258.

Almost surely, 2^13861364040 is an apocalyptic number.

13861364040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13861364040 is an abundant number, since it is smaller than the sum of its proper divisors (31207181040).

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

13861364040 is a wasteful number, since it uses less digits than its factorization.

13861364040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16351 (or 16344 counting only the distinct ones).

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

The spelling of 13861364040 in words is "thirteen billion, eight hundred sixty-one million, three hundred sixty-four thousand, forty".