14282720152800 has 288 divisors, whose sum is σ = 50721417371520. Its totient is φ = 3462151526400.

The previous prime is 14282720152783. The next prime is 14282720152849. The reversal of 14282720152800 is 825102728241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 398173266 + ... + 398209134.

It is an arithmetic number, because the mean of its divisors is an integer number (176116032540).

Almost surely, 2^{14282720152800} is an apocalyptic number.

14282720152800 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 14282720152800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360708685760).

14282720152800 is an abundant number, since it is smaller than the sum of its proper divisors (36438697218720).

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

14282720152800 is a wasteful number, since it uses less digits than its factorization.

14282720152800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50986 (or 50973 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 14282720152800 in words is "fourteen trillion, two hundred eighty-two billion, seven hundred twenty million, one hundred fifty-two thousand, eight hundred".