14940042768 has 240 divisors, whose sum is σ = 49153104000. Its totient is φ = 4234164480.

The previous prime is 14940042763. The next prime is 14940042769. The reversal of 14940042768 is 86724004941.

14940042768 is a `hidden beast` number, since 149 + 400 + 42 + 7 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (14940042763) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6469198 + ... + 6471506.

It is an arithmetic number, because the mean of its divisors is an integer number (204804600).

Almost surely, 2^14940042768 is an apocalyptic number.

14940042768 is a gapful number since it is divisible by the number (18) 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 14940042768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24576552000).

14940042768 is an abundant number, since it is smaller than the sum of its proper divisors (34213061232).

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

14940042768 is a wasteful number, since it uses less digits than its factorization.

14940042768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 14940042768 in words is "fourteen billion, nine hundred forty million, forty-two thousand, seven hundred sixty-eight".