14204090880 has 640 divisors, whose sum is σ = 59584757760. Its totient is φ = 3138600960.

The previous prime is 14204090867. The next prime is 14204090893. The reversal of 14204090880 is 8809040241.

It is an interprime number because it is at equal distance from previous prime (14204090867) and next prime (14204090893).

It is a tau number, because it is divible by the number of its divisors (640).

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

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 63 ways as a sum of consecutive naturals, for example, 14998567 + ... + 14999513.

It is an arithmetic number, because the mean of its divisors is an integer number (93101184).

Almost surely, 2^14204090880 is an apocalyptic number.

14204090880 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 14204090880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29792378880).

14204090880 is an abundant number, since it is smaller than the sum of its proper divisors (45380666880).

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

14204090880 is an equidigital number, since it uses as much as digits as its factorization.

14204090880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 995 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 14204090880 in words is "fourteen billion, two hundred four million, ninety thousand, eight hundred eighty".