14413520004 has 96 divisors (see below), whose sum is σ = 38662364160. Its totient is φ = 4142275200.

The previous prime is 14413520003. The next prime is 14413520021. The reversal of 14413520004 is 40002531441.

14413520004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (14413520003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176199 + ... + 244689.

It is an arithmetic number, because the mean of its divisors is an integer number (402732960).

Almost surely, 2^14413520004 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 14413520004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19331182080).

14413520004 is an abundant number, since it is smaller than the sum of its proper divisors (24248844156).

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

14413520004 is a wasteful number, since it uses less digits than its factorization.

14413520004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68601 (or 68599 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The spelling of 14413520004 in words is "fourteen billion, four hundred thirteen million, five hundred twenty thousand, four".