4140408004 has 24 divisors (see below), whose sum is σ = 7677299448. Its totient is φ = 1947064320.

The previous prime is 4140407993. The next prime is 4140408029. The reversal of 4140408004 is 4008040414.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1548579904 + 2591828100 = 39352^2 + 50910^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4140408004.

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 7 ways as a sum of consecutive naturals, for example, 80152 + ... + 121264.

It is an arithmetic number, because the mean of its divisors is an integer number (319887477).

Almost surely, 2^4140408004 is an apocalyptic number.

It is an amenable number.

4140408004 is a deficient number, since it is larger than the sum of its proper divisors (3536891444).

4140408004 is a wasteful number, since it uses less digits than its factorization.

4140408004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42615 (or 42613 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 25.

The square root of 4140408004 is about 64346.0022379013. The cubic root of 4140408004 is about 1605.7615203367.

Adding to 4140408004 its reverse (4008040414), we get a palindrome (8148448418).

The spelling of 4140408004 in words is "four billion, one hundred forty million, four hundred eight thousand, four".