4959688041 has 96 divisors (see below), whose sum is σ = 9211587840. Its totient is φ = 2496614400.

The previous prime is 4959688037. The next prime is 4959688043. The reversal of 4959688041 is 1408869594.

4959688041 is a `hidden beast` number, since 4 + 9 + 596 + 8 + 8 + 0 + 41 = 666.

It is not a de Polignac number, because 4959688041 - 2² = 4959688037 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4959688043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4914945 + ... + 4915953.

It is an arithmetic number, because the mean of its divisors is an integer number (95954040).

Almost surely, 2^4959688041 is an apocalyptic number.

4959688041 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

4959688041 is a deficient number, since it is larger than the sum of its proper divisors (4251899799).

4959688041 is a wasteful number, since it uses less digits than its factorization.

4959688041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 4959688041 is about 70425.0526517375. The cubic root of 4959688041 is about 1705.3680421390.

The spelling of 4959688041 in words is "four billion, nine hundred fifty-nine million, six hundred eighty-eight thousand, forty-one".