14105301540 has 288 divisors, whose sum is σ = 47973461760. Its totient is φ = 3077775360.

The previous prime is 14105301533. The next prime is 14105301541. The reversal of 14105301540 is 4510350141.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 14105301540.

It is not an unprimeable number, because it can be changed into a prime (14105301541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2836176 + ... + 2841144.

It is an arithmetic number, because the mean of its divisors is an integer number (166574520).

Almost surely, 2^14105301540 is an apocalyptic number.

14105301540 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 14105301540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23986730880).

14105301540 is an abundant number, since it is smaller than the sum of its proper divisors (33868160220).

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

14105301540 is a wasteful number, since it uses less digits than its factorization.

14105301540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 14105301540 its reverse (4510350141), we get a palindrome (18615651681).

The spelling of 14105301540 in words is "fourteen billion, one hundred five million, three hundred one thousand, five hundred forty".