14329782240 has 192 divisors, whose sum is σ = 46700623872. Its totient is φ = 3689625600.

The previous prime is 14329782179. The next prime is 14329782283. The reversal of 14329782240 is 4228792341.

It is a junction number, because it is equal to n+sod(n) for n = 14329782192 and 14329782201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9120655 + ... + 9122225.

It is an arithmetic number, because the mean of its divisors is an integer number (243232416).

Almost surely, 2^14329782240 is an apocalyptic number.

14329782240 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 14329782240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23350311936).

14329782240 is an abundant number, since it is smaller than the sum of its proper divisors (32370841632).

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

14329782240 is a wasteful number, since it uses less digits than its factorization.

14329782240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The spelling of 14329782240 in words is "fourteen billion, three hundred twenty-nine million, seven hundred eighty-two thousand, two hundred forty".