14190080256 has 432 divisors, whose sum is σ = 47006930880. Its totient is φ = 4233461760.

The previous prime is 14190080249. The next prime is 14190080291. The reversal of 14190080256 is 65208009141.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a self number, because there is not a number n which added to its sum of digits gives 14190080256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60901516 + ... + 60901748.

It is an arithmetic number, because the mean of its divisors is an integer number (108812340).

Almost surely, 2^14190080256 is an apocalyptic number.

14190080256 is a gapful number since it is divisible by the number (16) 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 14190080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23503465440).

14190080256 is an abundant number, since it is smaller than the sum of its proper divisors (32816850624).

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

14190080256 is an equidigital number, since it uses as much as digits as its factorization.

14190080256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 14190080256 its reverse (65208009141), we get a palindrome (79398089397).

The spelling of 14190080256 in words is "fourteen billion, one hundred ninety million, eighty thousand, two hundred fifty-six".