4002271128 has 64 divisors (see below), whose sum is σ = 11202364800. Its totient is φ = 1323897120.

The previous prime is 4002271127. The next prime is 4002271181. The reversal of 4002271128 is 8211722004.

4002271128 is a `hidden beast` number, since 400 + 227 + 11 + 28 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002271123) 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, 42426 + ... + 99017.

It is an arithmetic number, because the mean of its divisors is an integer number (175036950).

Almost surely, 2^4002271128 is an apocalyptic number.

It is an amenable number.

4002271128 is an abundant number, since it is smaller than the sum of its proper divisors (7200093672).

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

4002271128 is a wasteful number, since it uses less digits than its factorization.

4002271128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141589 (or 141579 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 4002271128 is about 63263.5054988261. The cubic root of 4002271128 is about 1587.7014277074.

The spelling of 4002271128 in words is "four billion, two million, two hundred seventy-one thousand, one hundred twenty-eight".