4130261604 has 240 divisors, whose sum is σ = 12847621248. Its totient is φ = 1132434432.

The previous prime is 4130261599. The next prime is 4130261617. The reversal of 4130261604 is 4061620314.

4130261604 is a `hidden beast` number, since 4 + 1 + 30 + 26 + 1 + 604 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6964732 + ... + 6965324.

Almost surely, 2^4130261604 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 4130261604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6423810624).

4130261604 is an abundant number, since it is smaller than the sum of its proper divisors (8717359644).

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

4130261604 is a wasteful number, since it uses less digits than its factorization.

4130261604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 736 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4130261604 is about 64267.1113712138. Note that the first 3 decimals coincide. The cubic root of 4130261604 is about 1604.4487651948.

Adding to 4130261604 its reverse (4061620314), we get a palindrome (8191881918).

The spelling of 4130261604 in words is "four billion, one hundred thirty million, two hundred sixty-one thousand, six hundred four".