14034840960 has 1024 divisors, whose sum is σ = 59010508800. Its totient is φ = 2760376320.

The previous prime is 14034840959. The next prime is 14034840973. The reversal of 14034840960 is 6904843041.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 230079330 + ... + 230079390.

It is an arithmetic number, because the mean of its divisors is an integer number (57627450).

Almost surely, 2^14034840960 is an apocalyptic number.

14034840960 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 14034840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29505254400).

14034840960 is an abundant number, since it is smaller than the sum of its proper divisors (44975667840).

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

14034840960 is a wasteful number, since it uses less digits than its factorization.

14034840960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 14034840960 in words is "fourteen billion, thirty-four million, eight hundred forty thousand, nine hundred sixty".