4124134404 has 216 divisors, whose sum is σ = 11895149448. Its totient is φ = 1196881920.

The previous prime is 4124134349. The next prime is 4124134409. The reversal of 4124134404 is 4044314214.

4124134404 is a `hidden beast` number, since 4 + 124 + 134 + 404 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1023872004 + 3100262400 = 31998^2 + 55680^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4124134409) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26268294 + ... + 26268450.

Almost surely, 2^4124134404 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 4124134404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5947574724).

4124134404 is an abundant number, since it is smaller than the sum of its proper divisors (7771015044).

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

4124134404 is a wasteful number, since it uses less digits than its factorization.

4124134404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 4124134404 is about 64219.4238840555. The cubic root of 4124134404 is about 1603.6549782055.

Adding to 4124134404 its reverse (4044314214), we get a palindrome (8168448618).

The spelling of 4124134404 in words is "four billion, one hundred twenty-four million, one hundred thirty-four thousand, four hundred four".