14145011840 has 128 divisors (see below), whose sum is σ = 36393228720. Its totient is φ = 5237637120.

The previous prime is 14145011821. The next prime is 14145011851. The reversal of 14145011840 is 4811054141.

It can be written as a sum of positive squares in 8 ways, for example, as 2534518336 + 11610493504 = 50344^2 + 107752^2 .

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 653024 + ... + 674336.

Almost surely, 2^14145011840 is an apocalyptic number.

14145011840 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 14145011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18196614360).

14145011840 is an abundant number, since it is smaller than the sum of its proper divisors (22248216880).

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

14145011840 is a wasteful number, since it uses less digits than its factorization.

14145011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21410 (or 21398 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 14145011840 its reverse (4811054141), we get a palindrome (18956065981).

The spelling of 14145011840 in words is "fourteen billion, one hundred forty-five million, eleven thousand, eight hundred forty".