14160356640 has 432 divisors, whose sum is σ = 52337932920. Its totient is φ = 3481927680.

The previous prime is 14160356633. The next prime is 14160356641. The reversal of 14160356640 is 4665306141.

It is a happy number.

14160356640 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 3 + 5 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13501510416 + 658846224 = 116196^2 + 25668^2 .

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 = 14160356595 and 14160356604.

It is not an unprimeable number, because it can be changed into a prime (14160356641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22090720 + ... + 22091360.

Almost surely, 2^14160356640 is an apocalyptic number.

14160356640 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 14160356640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26168966460).

14160356640 is an abundant number, since it is smaller than the sum of its proper divisors (38177576280).

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

14160356640 is a wasteful number, since it uses less digits than its factorization.

14160356640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 14160356640 in words is "fourteen billion, one hundred sixty million, three hundred fifty-six thousand, six hundred forty".