414114204004 has 24 divisors (see below), whose sum is σ = 727032370680. Its totient is φ = 206391266304.

The previous prime is 414114204001. The next prime is 414114204047. The reversal of 414114204004 is 400402411414.

It can be written as a sum of positive squares in 4 ways, for example, as 72766141504 + 341348062500 = 269752^2 + 584250^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 414114204004.

It is not an unprimeable number, because it can be changed into a prime (414114204001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2744922 + ... + 2891854.

It is an arithmetic number, because the mean of its divisors is an integer number (30293015445).

Almost surely, 2^414114204004 is an apocalyptic number.

It is an amenable number.

414114204004 is a deficient number, since it is larger than the sum of its proper divisors (312918166676).

414114204004 is a wasteful number, since it uses less digits than its factorization.

414114204004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149199 (or 149197 counting only the distinct ones).

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

Adding to 414114204004 its reverse (400402411414), we get a palindrome (814516615418).

The spelling of 414114204004 in words is "four hundred fourteen billion, one hundred fourteen million, two hundred four thousand, four".