14142121504 has 96 divisors (see below), whose sum is σ = 33260129280. Its totient is φ = 5787462912.

The previous prime is 14142121489. The next prime is 14142121519. The reversal of 14142121504 is 40512124141.

14142121504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14142121489) and next prime (14142121519).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3516807 + ... + 3520825.

It is an arithmetic number, because the mean of its divisors is an integer number (346459680).

Almost surely, 2^14142121504 is an apocalyptic number.

14142121504 is a gapful number since it is divisible by the number (14) 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 14142121504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16630064640).

14142121504 is an abundant number, since it is smaller than the sum of its proper divisors (19118007776).

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

14142121504 is a wasteful number, since it uses less digits than its factorization.

14142121504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4742 (or 4734 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 14142121504 its reverse (40512124141), we get a palindrome (54654245645).

The spelling of 14142121504 in words is "fourteen billion, one hundred forty-two million, one hundred twenty-one thousand, five hundred four".