14484134340 has 576 divisors, whose sum is σ = 53250220800. Its totient is φ = 3239792640.

The previous prime is 14484134323. The next prime is 14484134347. The reversal of 14484134340 is 4343148441.

14484134340 is a `hidden beast` number, since 1 + 4 + 484 + 134 + 3 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14484134295 and 14484134304.

It is not an unprimeable number, because it can be changed into a prime (14484134347) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 128178124 + ... + 128178236.

It is an arithmetic number, because the mean of its divisors is an integer number (92448300).

Almost surely, 2^14484134340 is an apocalyptic number.

14484134340 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 14484134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26625110400).

14484134340 is an abundant number, since it is smaller than the sum of its proper divisors (38766086460).

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

14484134340 is a wasteful number, since it uses less digits than its factorization.

14484134340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 14484134340 in words is "fourteen billion, four hundred eighty-four million, one hundred thirty-four thousand, three hundred forty".