4184416961 has 2 divisors, whose sum is σ = 4184416962. Its totient is φ = 4184416960.

The previous prime is 4184416889. The next prime is 4184416997. The reversal of 4184416961 is 1696144814.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4162701361 + 21715600 = 64519^2 + 4660^2 .

It is a cyclic number.

It is not a de Polignac number, because 4184416961 - 2¹⁸ = 4184154817 is a prime.

It is not a weakly prime, because it can be changed into another prime (4184416661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2092208480 + 2092208481.

It is an arithmetic number, because the mean of its divisors is an integer number (2092208481).

Almost surely, 2^4184416961 is an apocalyptic number.

It is an amenable number.

4184416961 is a deficient number, since it is larger than the sum of its proper divisors (1).

4184416961 is an equidigital number, since it uses as much as digits as its factorization.

4184416961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 165888, while the sum is 44.

The square root of 4184416961 is about 64687.0695038815. The cubic root of 4184416961 is about 1611.4307666385.

The spelling of 4184416961 in words is "four billion, one hundred eighty-four million, four hundred sixteen thousand, nine hundred sixty-one".