14159140800 has 336 divisors, whose sum is σ = 54098537472. Its totient is φ = 3174912000.

The previous prime is 14159140769. The next prime is 14159140811. The reversal of 14159140800 is 804195141.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1776825 + ... + 1784775.

It is an arithmetic number, because the mean of its divisors is an integer number (161007552).

Almost surely, 2^14159140800 is an apocalyptic number.

14159140800 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 14159140800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27049268736).

14159140800 is an abundant number, since it is smaller than the sum of its proper divisors (39939396672).

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

14159140800 is a wasteful number, since it uses less digits than its factorization.

14159140800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8036 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The spelling of 14159140800 in words is "fourteen billion, one hundred fifty-nine million, one hundred forty thousand, eight hundred".