4142314656 has 72 divisors (see below), whose sum is σ = 12472646004. Its totient is φ = 1299548160.

The previous prime is 4142314633. The next prime is 4142314661. The reversal of 4142314656 is 6564132414.

4142314656 is a `hidden beast` number, since 41 + 423 + 146 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3397024656 + 745290000 = 58284^2 + 27300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4142314656.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 418135 + ... + 427926.

Almost surely, 2^4142314656 is an apocalyptic number.

It is an amenable number.

4142314656 is an abundant number, since it is smaller than the sum of its proper divisors (8330331348).

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

4142314656 is a wasteful number, since it uses less digits than its factorization.

4142314656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846094 (or 846083 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4142314656 is about 64360.8161539302. The cubic root of 4142314656 is about 1606.0079661438.

The spelling of 4142314656 in words is "four billion, one hundred forty-two million, three hundred fourteen thousand, six hundred fifty-six".