14604042960 has 640 divisors, whose sum is σ = 58929561600. Its totient is φ = 3292047360.

The previous prime is 14604042949. The next prime is 14604042961. The reversal of 14604042960 is 6924040641.

14604042960 is a `hidden beast` number, since 1 + 4 + 604 + 0 + 42 + 9 + 6 + 0 = 666.

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 (14604042961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16538679 + ... + 16539561.

It is an arithmetic number, because the mean of its divisors is an integer number (92077440).

Almost surely, 2^14604042960 is an apocalyptic number.

14604042960 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 14604042960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29464780800).

14604042960 is an abundant number, since it is smaller than the sum of its proper divisors (44325518640).

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

14604042960 is a wasteful number, since it uses less digits than its factorization.

14604042960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 14604042960 in words is "fourteen billion, six hundred four million, forty-two thousand, nine hundred sixty".