14065971360 has 576 divisors, whose sum is σ = 55201886208. Its totient is φ = 2991292416.

The previous prime is 14065971331. The next prime is 14065971391. The reversal of 14065971360 is 6317956041.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 50779542 + ... + 50779818.

It is an arithmetic number, because the mean of its divisors is an integer number (95836608).

Almost surely, 2^14065971360 is an apocalyptic number.

14065971360 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 14065971360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27600943104).

14065971360 is an abundant number, since it is smaller than the sum of its proper divisors (41135914848).

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

14065971360 is a wasteful number, since it uses less digits than its factorization.

14065971360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 14065971360 in words is "fourteen billion, sixty-five million, nine hundred seventy-one thousand, three hundred sixty".