14145041600 has 84 divisors (see below), whose sum is σ = 34830261048. Its totient is φ = 5654016000.

The previous prime is 14145041579. The next prime is 14145041609. The reversal of 14145041600 is 614054141.

It is a self number, because there is not a number n which added to its sum of digits gives 14145041600.

It is not an unprimeable number, because it can be changed into a prime (14145041609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3455555 + ... + 3459645.

Almost surely, 2^14145041600 is an apocalyptic number.

14145041600 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 14145041600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17415130524).

14145041600 is an abundant number, since it is smaller than the sum of its proper divisors (20685219448).

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

14145041600 is a wasteful number, since it uses less digits than its factorization.

14145041600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6259 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 14145041600 its reverse (614054141), we get a palindrome (14759095741).

The spelling of 14145041600 in words is "fourteen billion, one hundred forty-five million, forty-one thousand, six hundred".