14430220414080 has 128 divisors (see below), whose sum is σ = 46035884416320. Its totient is φ = 3844749447168.

The previous prime is 14430220414013. The next prime is 14430220414081. The reversal of 14430220414080 is 8041402203441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×14430220414080² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14430220414081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 998227 + ... + 5464146.

Almost surely, 2^{14430220414080} is an apocalyptic number.

14430220414080 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 14430220414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23017942208160).

14430220414080 is an abundant number, since it is smaller than the sum of its proper divisors (31605664002240).

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

14430220414080 is a wasteful number, since it uses less digits than its factorization.

14430220414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6463558 (or 6463546 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The spelling of 14430220414080 in words is "fourteen trillion, four hundred thirty billion, two hundred twenty million, four hundred fourteen thousand, eighty".