4416461673 has 64 divisors (see below), whose sum is σ = 6735886080. Its totient is φ = 2555255808.

The previous prime is 4416461663. The next prime is 4416461681. The reversal of 4416461673 is 3761646144.

It is not a de Polignac number, because 4416461673 - 2²⁶ = 4349352809 is a prime.

It is a super-3 number, since 3×4416461673³ (a number of 30 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4416461663) 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 63 ways as a sum of consecutive naturals, for example, 6763015 + ... + 6763667.

It is an arithmetic number, because the mean of its divisors is an integer number (105248220).

Almost surely, 2^4416461673 is an apocalyptic number.

4416461673 is a gapful number since it is divisible by the number (43) formed by its first and last digit.

It is an amenable number.

4416461673 is a deficient number, since it is larger than the sum of its proper divisors (2319424407).

4416461673 is a wasteful number, since it uses less digits than its factorization.

4416461673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858.

The product of its digits is 290304, while the sum is 42.

The square root of 4416461673 is about 66456.4644936819. The cubic root of 4416461673 is about 1640.6835432657.

The spelling of 4416461673 in words is "four billion, four hundred sixteen million, four hundred sixty-one thousand, six hundred seventy-three".