4164346401 has 16 divisors (see below), whose sum is σ = 5945140800. Its totient is φ = 2583561728.

The previous prime is 4164346391. The next prime is 4164346447. The reversal of 4164346401 is 1046434614.

It is a cyclic number.

It is not a de Polignac number, because 4164346401 - 2⁷ = 4164346273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (4164346601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 454191 + ... + 463268.

It is an arithmetic number, because the mean of its divisors is an integer number (371571300).

Almost surely, 2^4164346401 is an apocalyptic number.

It is an amenable number.

4164346401 is a deficient number, since it is larger than the sum of its proper divisors (1780794399).

4164346401 is a wasteful number, since it uses less digits than its factorization.

4164346401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917568.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 4164346401 is about 64531.7472334354. The cubic root of 4164346401 is about 1608.8502266325.

The spelling of 4164346401 in words is "four billion, one hundred sixty-four million, three hundred forty-six thousand, four hundred one".