14085143280 has 720 divisors, whose sum is σ = 55870424064. Its totient is φ = 3158507520.

The previous prime is 14085143269. The next prime is 14085143323. The reversal of 14085143280 is 8234158041.

14085143280 is a `hidden beast` number, since 140 + 8 + 5 + 1 + 432 + 80 = 666.

14085143280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×14085143280² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 110906577 + ... + 110906703.

Almost surely, 2^14085143280 is an apocalyptic number.

14085143280 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 14085143280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27935212032).

14085143280 is an abundant number, since it is smaller than the sum of its proper divisors (41785280784).

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

14085143280 is a wasteful number, since it uses less digits than its factorization.

14085143280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 14085143280 in words is "fourteen billion, eighty-five million, one hundred forty-three thousand, two hundred eighty".