14168567040 has 288 divisors, whose sum is σ = 48318197760. Its totient is φ = 3525967872.

The previous prime is 14168566999. The next prime is 14168567071. The reversal of 14168567040 is 4076586141.

It is a junction number, because it is equal to n+sod(n) for n = 14168566983 and 14168567001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8289706 + ... + 8291414.

It is an arithmetic number, because the mean of its divisors is an integer number (167771520).

Almost surely, 2^14168567040 is an apocalyptic number.

14168567040 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 14168567040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24159098880).

14168567040 is an abundant number, since it is smaller than the sum of its proper divisors (34149630720).

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

14168567040 is a wasteful number, since it uses less digits than its factorization.

14168567040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1877 (or 1863 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 14168567040 in words is "fourteen billion, one hundred sixty-eight million, five hundred sixty-seven thousand, forty".