14430084480 has 1152 divisors, whose sum is σ = 62853991200. Its totient is φ = 3034644480.

The previous prime is 14430084479. The next prime is 14430084481. The reversal of 14430084480 is 8448003441.

14430084480 is a `hidden beast` number, since 144 + 30 + 0 + 8 + 4 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (14430084479) and next prime (14430084481).

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14430084481) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335583339 + ... + 335583381.

Almost surely, 2^14430084480 is an apocalyptic number.

14430084480 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 14430084480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426995600).

14430084480 is an abundant number, since it is smaller than the sum of its proper divisors (48423906720).

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

14430084480 is a wasteful number, since it uses less digits than its factorization.

14430084480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 14430084480 in words is "fourteen billion, four hundred thirty million, eighty-four thousand, four hundred eighty".