41271164928 has 608 divisors, whose sum is σ = 150994656000. Its totient is φ = 11098128384.

The previous prime is 41271164867. The next prime is 41271164929. The reversal of 41271164928 is 82946117214.

41271164928 is a `hidden beast` number, since 41 + 2 + 7 + 116 + 492 + 8 = 666.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41271164929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2427715576 + ... + 2427715592.

Almost surely, 2^41271164928 is an apocalyptic number.

41271164928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41271164928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497328000).

41271164928 is an abundant number, since it is smaller than the sum of its proper divisors (109723491072).

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

41271164928 is an frugal number, since it uses more digits than its factorization.

41271164928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 29 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The spelling of 41271164928 in words is "forty-one billion, two hundred seventy-one million, one hundred sixty-four thousand, nine hundred twenty-eight".