13868788440 has 256 divisors, whose sum is σ = 46255144320. Its totient is φ = 3304488960.

The previous prime is 13868788399. The next prime is 13868788489. The reversal of 13868788440 is 4488786831.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13910022 + ... + 13911018.

Almost surely, 2^13868788440 is an apocalyptic number.

13868788440 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 13868788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23127572160).

13868788440 is an abundant number, since it is smaller than the sum of its proper divisors (32386355880).

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

13868788440 is a wasteful number, since it uses less digits than its factorization.

13868788440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 57.

The spelling of 13868788440 in words is "thirteen billion, eight hundred sixty-eight million, seven hundred eighty-eight thousand, four hundred forty".