14220004134330 has 256 divisors, whose sum is σ = 38979791585280. Its totient is φ = 3686689036800.

The previous prime is 14220004134319. The next prime is 14220004134373. The reversal of 14220004134330 is 3343140002241.

14220004134330 is a `hidden beast` number, since 1 + 4 + 2 + 200 + 0 + 413 + 43 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14220004134294 and 14220004134303.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5591821039 + ... + 5591823581.

It is an arithmetic number, because the mean of its divisors is an integer number (152264810880).

Almost surely, 2^{14220004134330} is an apocalyptic number.

14220004134330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14220004134330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19489895792640).

14220004134330 is an abundant number, since it is smaller than the sum of its proper divisors (24759787450950).

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

14220004134330 is a wasteful number, since it uses less digits than its factorization.

14220004134330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4154 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 14220004134330 its reverse (3343140002241), we get a palindrome (17563144136571).

The spelling of 14220004134330 in words is "fourteen trillion, two hundred twenty billion, four million, one hundred thirty-four thousand, three hundred thirty".