4013004004 has 6 divisors (see below), whose sum is σ = 7022757014. Its totient is φ = 2006502000.

The previous prime is 4013003999. The next prime is 4013004019. The reversal of 4013004004 is 4004003104.

It can be written as a sum of positive squares in only one way, i.e., 3598800100 + 414203904 = 59990^2 + 20352^2 .

It is a super-2 number, since 2×4013004004² = 32208402272240064032, which contains 22 as substring.

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 as a sum of consecutive naturals, namely, 501625497 + ... + 501625504.

Almost surely, 2^4013004004 is an apocalyptic number.

It is an amenable number.

4013004004 is a deficient number, since it is larger than the sum of its proper divisors (3009753010).

4013004004 is a wasteful number, since it uses less digits than its factorization.

4013004004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003251005 (or 1003251003 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4013004004 is about 63348.2754619256. The cubic root of 4013004004 is about 1589.1194053243.

Adding to 4013004004 its reverse (4004003104), we get a palindrome (8017007108).

The spelling of 4013004004 in words is "four billion, thirteen million, four thousand, four".