4271855616 has 288 divisors, whose sum is σ = 14273794080. Its totient is φ = 1205600256.

The previous prime is 4271855593. The next prime is 4271855629. The reversal of 4271855616 is 6165581724.

4271855616 is a `hidden beast` number, since 4 + 2 + 7 + 1 + 85 + 561 + 6 = 666.

4271855616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14579566 + ... + 14579858.

It is an arithmetic number, because the mean of its divisors is an integer number (49561785).

Almost surely, 2^4271855616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4271855616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136897040).

4271855616 is an abundant number, since it is smaller than the sum of its proper divisors (10001938464).

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

4271855616 is a wasteful number, since it uses less digits than its factorization.

4271855616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 418 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 4271855616 is about 65359.4340244773. The cubic root of 4271855616 is about 1622.5777707472.

The spelling of 4271855616 in words is "four billion, two hundred seventy-one million, eight hundred fifty-five thousand, six hundred sixteen".