4136416561 has 6 divisors (see below), whose sum is σ = 4226300210. Its totient is φ = 4048405536.

The previous prime is 4136416549. The next prime is 4136416573. The reversal of 4136416561 is 1656146314.

It is an interprime number because it is at equal distance from previous prime (4136416549) and next prime (4136416573).

It can be written as a sum of positive squares in only one way, i.e., 3996136225 + 140280336 = 63215^2 + 11844^2 .

It is not a de Polignac number, because 4136416561 - 2⁹ = 4136416049 is a prime.

It is a super-2 number, since 2×4136416561² = 34219883932230133442, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4136416561.

It is not an unprimeable number, because it can be changed into a prime (4136416061) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 934056 + ... + 938473.

Almost surely, 2^4136416561 is an apocalyptic number.

It is an amenable number.

4136416561 is a deficient number, since it is larger than the sum of its proper divisors (89883649).

4136416561 is an equidigital number, since it uses as much as digits as its factorization.

4136416561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872623 (or 1872576 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 4136416561 is about 64314.9792894315. The cubic root of 4136416561 is about 1605.2453581415.

The spelling of 4136416561 in words is "four billion, one hundred thirty-six million, four hundred sixteen thousand, five hundred sixty-one".