14213128320 has 384 divisors, whose sum is σ = 51793560000. Its totient is φ = 3723522048.

The previous prime is 14213128309. The next prime is 14213128331. The reversal of 14213128320 is 2382131241.

14213128320 is a `hidden beast` number, since 1 + 4 + 21 + 312 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (14213128309) and next prime (14213128331).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 9174906 + ... + 9176454.

Almost surely, 2^14213128320 is an apocalyptic number.

14213128320 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 14213128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25896780000).

14213128320 is an abundant number, since it is smaller than the sum of its proper divisors (37580431680).

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

14213128320 is an equidigital number, since it uses as much as digits as its factorization.

14213128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1642 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 14213128320 its reverse (2382131241), we get a palindrome (16595259561).

The spelling of 14213128320 in words is "fourteen billion, two hundred thirteen million, one hundred twenty-eight thousand, three hundred twenty".