13868321040 has 840 divisors, whose sum is σ = 58959672768. Its totient is φ = 3017710080.

The previous prime is 13868320987. The next prime is 13868321041. The reversal of 13868321040 is 4012386831.

It is a tau number, because it is divible by the number of its divisors (840).

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 = 13868320986 and 13868321004.

It is not an unprimeable number, because it can be changed into a prime (13868321041) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 65726535 + ... + 65726745.

Almost surely, 2^13868321040 is an apocalyptic number.

13868321040 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 13868321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29479836384).

13868321040 is an abundant number, since it is smaller than the sum of its proper divisors (45091351728).

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

13868321040 is a wasteful number, since it uses less digits than its factorization.

13868321040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 13868321040 in words is "thirteen billion, eight hundred sixty-eight million, three hundred twenty-one thousand, forty".