13839138240 has 112 divisors (see below), whose sum is σ = 44558346240. Its totient is φ = 3638440960.

The previous prime is 13839138223. The next prime is 13839138241. The reversal of 13839138240 is 4283193831.

It is a junction number, because it is equal to n+sod(n) for n = 13839138192 and 13839138201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13839138241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33360 + ... + 169679.

Almost surely, 2^13839138240 is an apocalyptic number.

13839138240 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 13839138240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22279173120).

13839138240 is an abundant number, since it is smaller than the sum of its proper divisors (30719208000).

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

13839138240 is a wasteful number, since it uses less digits than its factorization.

13839138240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203130 (or 203120 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 13839138240 in words is "thirteen billion, eight hundred thirty-nine million, one hundred thirty-eight thousand, two hundred forty".