4131264004 has 48 divisors (see below), whose sum is σ = 8367440256. Its totient is φ = 1748160000.

The previous prime is 4131263989. The next prime is 4131264023. The reversal of 4131264004 is 4004621314.

It is a super-2 number, since 2×4131264004² = 34134684541492224032, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 4131264004.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1132207 + ... + 1135849.

It is an arithmetic number, because the mean of its divisors is an integer number (174321672).

Almost surely, 2^4131264004 is an apocalyptic number.

It is an amenable number.

4131264004 is an abundant number, since it is smaller than the sum of its proper divisors (4236176252).

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

4131264004 is a wasteful number, since it uses less digits than its factorization.

4131264004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4156 (or 4154 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 4131264004 is about 64274.9095993141. The cubic root of 4131264004 is about 1604.5785527243.

Adding to 4131264004 its reverse (4004621314), we get a palindrome (8135885318).

The spelling of 4131264004 in words is "four billion, one hundred thirty-one million, two hundred sixty-four thousand, four".