14152020000 has 240 divisors, whose sum is σ = 46762531200. Its totient is φ = 3746176000.

The previous prime is 14152019989. The next prime is 14152020011. The reversal of 14152020000 is 2025141.

It is an interprime number because it is at equal distance from previous prime (14152019989) and next prime (14152020011).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

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 39 ways as a sum of consecutive naturals, for example, 8939209 + ... + 8940791.

It is an arithmetic number, because the mean of its divisors is an integer number (194843880).

Almost surely, 2^14152020000 is an apocalyptic number.

14152020000 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 14152020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23381265600).

14152020000 is an abundant number, since it is smaller than the sum of its proper divisors (32610511200).

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

14152020000 is a wasteful number, since it uses less digits than its factorization.

14152020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1765 (or 1742 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 14152020000 its reverse (2025141), we get a palindrome (14154045141).

The spelling of 14152020000 in words is "fourteen billion, one hundred fifty-two million, twenty thousand".