14095382240 has 192 divisors, whose sum is σ = 34805272320. Its totient is φ = 5391360000.

The previous prime is 14095382239. The next prime is 14095382267. The reversal of 14095382240 is 4228359041.

It is a junction number, because it is equal to n+sod(n) for n = 14095382194 and 14095382203.

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, 77874950 + ... + 77875130.

It is an arithmetic number, because the mean of its divisors is an integer number (181277460).

Almost surely, 2^14095382240 is an apocalyptic number.

14095382240 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 14095382240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17402636160).

14095382240 is an abundant number, since it is smaller than the sum of its proper divisors (20709890080).

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

14095382240 is a wasteful number, since it uses less digits than its factorization.

14095382240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The spelling of 14095382240 in words is "fourteen billion, ninety-five million, three hundred eighty-two thousand, two hundred forty".