4102171271928 has 192 divisors, whose sum is σ = 11416420454400. Its totient is φ = 1330217441280.

The previous prime is 4102171271927. The next prime is 4102171271941. The reversal of 4102171271928 is 8291721712014.

4102171271928 is a `hidden beast` number, since 410 + 21 + 7 + 1 + 27 + 192 + 8 = 666.

It is a super-3 number, since 3×4102171271928³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102171271927) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1073022225 + ... + 1073026047.

It is an arithmetic number, because the mean of its divisors is an integer number (59460523200).

Almost surely, 2^{4102171271928} 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 4102171271928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5708210227200).

4102171271928 is an abundant number, since it is smaller than the sum of its proper divisors (7314249182472).

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

4102171271928 is a wasteful number, since it uses less digits than its factorization.

4102171271928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 45.

The spelling of 4102171271928 in words is "four trillion, one hundred two billion, one hundred seventy-one million, two hundred seventy-one thousand, nine hundred twenty-eight".