14120534304 has 240 divisors, whose sum is σ = 45225734400. Its totient is φ = 4304918016.

The previous prime is 14120534303. The next prime is 14120534387. The reversal of 14120534304 is 40343502141.

It is a happy number.

14120534304 is a `hidden beast` number, since 1 + 4 + 120 + 534 + 3 + 0 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (14120534303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1423249 + ... + 1433135.

It is an arithmetic number, because the mean of its divisors is an integer number (188440560).

Almost surely, 2^14120534304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14120534304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22612867200).

14120534304 is an abundant number, since it is smaller than the sum of its proper divisors (31105200096).

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

14120534304 is a wasteful number, since it uses less digits than its factorization.

14120534304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9940 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The spelling of 14120534304 in words is "fourteen billion, one hundred twenty million, five hundred thirty-four thousand, three hundred four".