477751872755142 has 160 divisors (see below), whose sum is σ = 1138310620967520. Its totient is φ = 149478937574400.

The previous prime is 477751872755123. The next prime is 477751872755153. The reversal of 477751872755142 is 241557278157774.

477751872755142 is a `hidden beast` number, since 4 + 7 + 7 + 7 + 5 + 1 + 8 + 7 + 27 + 551 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 207620793 + ... + 209909259.

It is an arithmetic number, because the mean of its divisors is an integer number (7114441381047).

Almost surely, 2^{477751872755142} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477751872755142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569155310483760).

477751872755142 is an abundant number, since it is smaller than the sum of its proper divisors (660558748212378).

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

477751872755142 is a wasteful number, since it uses less digits than its factorization.

477751872755142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2289748 (or 2289739 counting only the distinct ones).

The product of its digits is 1075648000, while the sum is 72.

The spelling of 477751872755142 in words is "four hundred seventy-seven trillion, seven hundred fifty-one billion, eight hundred seventy-two million, seven hundred fifty-five thousand, one hundred forty-two".