13941288960 has 208 divisors, whose sum is σ = 45060198144. Its totient is φ = 3679911936.

The previous prime is 13941288937. The next prime is 13941288961. The reversal of 13941288960 is 6988214931.

It is not an unprimeable number, because it can be changed into a prime (13941288961) 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, 6327219 + ... + 6329421.

It is an arithmetic number, because the mean of its divisors is an integer number (216635568).

Almost surely, 2^13941288960 is an apocalyptic number.

13941288960 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 13941288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22530099072).

13941288960 is an abundant number, since it is smaller than the sum of its proper divisors (31118909184).

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

13941288960 is a wasteful number, since it uses less digits than its factorization.

13941288960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 51.

The spelling of 13941288960 in words is "thirteen billion, nine hundred forty-one million, two hundred eighty-eight thousand, nine hundred sixty".