13938387840 has 768 divisors, whose sum is σ = 55669723200. Its totient is φ = 3185049600.

The previous prime is 13938387781. The next prime is 13938387851. The reversal of 13938387840 is 4878383931.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 138003790 + ... + 138003890.

Almost surely, 2^13938387840 is an apocalyptic number.

13938387840 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 13938387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27834861600).

13938387840 is an abundant number, since it is smaller than the sum of its proper divisors (41731335360).

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

13938387840 is a wasteful number, since it uses less digits than its factorization.

13938387840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 13938387840 in words is "thirteen billion, nine hundred thirty-eight million, three hundred eighty-seven thousand, eight hundred forty".