254042305128 has 64 divisors (see below), whose sum is σ = 705794644800. Its totient is φ = 84666179520.

The previous prime is 254042305109. The next prime is 254042305129. The reversal of 254042305128 is 821503240452.

254042305128 is a `hidden beast` number, since 2 + 5 + 404 + 230 + 5 + 12 + 8 = 666.

254042305128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 254042305092 and 254042305101.

It is not an unprimeable number, because it can be changed into a prime (254042305129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193575 + ... + 1390217.

It is an arithmetic number, because the mean of its divisors is an integer number (11028041325).

Almost surely, 2^254042305128 is an apocalyptic number.

It is an amenable number.

254042305128 is an abundant number, since it is smaller than the sum of its proper divisors (451752339672).

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

254042305128 is a wasteful number, since it uses less digits than its factorization.

254042305128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202639 (or 202629 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 254042305128 in words is "two hundred fifty-four billion, forty-two million, three hundred five thousand, one hundred twenty-eight".