13830636240 has 120 divisors (see below), whose sum is σ = 46480585320. Its totient is φ = 3685573632.

The previous prime is 13830636233. The next prime is 13830636247. The reversal of 13830636240 is 4263603831.

13830636240 is a `hidden beast` number, since 1 + 383 + 0 + 6 + 36 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (13830636233) and next prime (13830636247).

It can be written as a sum of positive squares in 4 ways, for example, as 1220244624 + 12610391616 = 34932^2 + 112296^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 13830636195 and 13830636204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13830636247) 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, 1155406 + ... + 1167314.

It is an arithmetic number, because the mean of its divisors is an integer number (387338211).

Almost surely, 2^13830636240 is an apocalyptic number.

13830636240 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 13830636240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23240292660).

13830636240 is an abundant number, since it is smaller than the sum of its proper divisors (32649949080).

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

13830636240 is a wasteful number, since it uses less digits than its factorization.

13830636240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13541 (or 13532 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 13830636240 in words is "thirteen billion, eight hundred thirty million, six hundred thirty-six thousand, two hundred forty".