4102180824 has 192 divisors, whose sum is σ = 12788064000. Its totient is φ = 1090526976.

The previous prime is 4102180813. The next prime is 4102180829. The reversal of 4102180824 is 4280812014.

4102180824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×4102180824³ (a number of 30 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4102180791 and 4102180800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102180829) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 998727 + ... + 1002825.

It is an arithmetic number, because the mean of its divisors is an integer number (66604500).

Almost surely, 2^4102180824 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 4102180824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394032000).

4102180824 is an abundant number, since it is smaller than the sum of its proper divisors (8685883176).

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

4102180824 is a wasteful number, since it uses less digits than its factorization.

4102180824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4182 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 4102180824 is about 64048.2694848190. The cubic root of 4102180824 is about 1600.8043903215.

Adding to 4102180824 its reverse (4280812014), we get a palindrome (8382992838).

The spelling of 4102180824 in words is "four billion, one hundred two million, one hundred eighty thousand, eight hundred twenty-four".