41413064004 has 81 divisors (see below), whose sum is σ = 113398453623. Its totient is φ = 12737597184.

The previous prime is 41413063957. The next prime is 41413064027. The reversal of 41413064004 is 40046031414.

The square root of 41413064004 is 203502.

It is a perfect power (a square), and thus also a powerful number.

41413064004 is a `hidden beast` number, since 4 + 1 + 4 + 13 + 0 + 640 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6575588100 + 34837475904 = 81090^2 + 186648^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15871852 + ... + 15874460.

Almost surely, 2^41413064004 is an apocalyptic number.

41413064004 is the 203502-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41413064004

41413064004 is an abundant number, since it is smaller than the sum of its proper divisors (71985389619).

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

41413064004 is a wasteful number, since it uses less digits than its factorization.

41413064004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 2627 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 41413064004 its reverse (40046031414), we get a palindrome (81459095418).

The spelling of 41413064004 in words is "forty-one billion, four hundred thirteen million, sixty-four thousand, four".