4181641828 has 96 divisors (see below), whose sum is σ = 9511927040. Its totient is φ = 1562042880.

The previous prime is 4181641823. The next prime is 4181641831. The reversal of 4181641828 is 8281461814.

It is a super-2 number, since 2×4181641828² = 34972256755358363168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4181641823) 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, 2578858 + ... + 2580478.

Almost surely, 2^4181641828 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 4181641828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755963520).

4181641828 is an abundant number, since it is smaller than the sum of its proper divisors (5330285212).

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

4181641828 is a wasteful number, since it uses less digits than its factorization.

4181641828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2037 (or 2035 counting only the distinct ones).

The product of its digits is 98304, while the sum is 43.

The square root of 4181641828 is about 64665.6155000476. The cubic root of 4181641828 is about 1611.0744506763.

The spelling of 4181641828 in words is "four billion, one hundred eighty-one million, six hundred forty-one thousand, eight hundred twenty-eight".