4136416641 has 96 divisors (see below), whose sum is σ = 7400989440. Its totient is φ = 2173796352.

The previous prime is 4136416639. The next prime is 4136416643. The reversal of 4136416641 is 1466146314.

4136416641 is a `hidden beast` number, since 4 + 1 + 3 + 6 + 4 + 1 + 6 + 641 = 666.

4136416641 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4136416639) and next prime (4136416643).

It is not a de Polignac number, because 4136416641 - 2¹ = 4136416639 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4136416596 and 4136416605.

It is not an unprimeable number, because it can be changed into a prime (4136416643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7168545 + ... + 7169121.

It is an arithmetic number, because the mean of its divisors is an integer number (77093640).

Almost surely, 2^4136416641 is an apocalyptic number.

It is an amenable number.

4136416641 is a deficient number, since it is larger than the sum of its proper divisors (3264572799).

4136416641 is a wasteful number, since it uses less digits than its factorization.

4136416641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 775 (or 772 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4136416641 is about 64314.9799113706. The cubic root of 4136416641 is about 1605.2453684902.

The spelling of 4136416641 in words is "four billion, one hundred thirty-six million, four hundred sixteen thousand, six hundred forty-one".