4085414201 has 8 divisors (see below), whose sum is σ = 4457856384. Its totient is φ = 3713145520.

The previous prime is 4085414167. The next prime is 4085414227. The reversal of 4085414201 is 1024145804.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4085414201 - 2¹⁴ = 4085397817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4085414251) 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 7 ways as a sum of consecutive naturals, for example, 8576 + ... + 90798.

It is an arithmetic number, because the mean of its divisors is an integer number (557232048).

Almost surely, 2^4085414201 is an apocalyptic number.

It is an amenable number.

4085414201 is a deficient number, since it is larger than the sum of its proper divisors (372442183).

4085414201 is a wasteful number, since it uses less digits than its factorization.

4085414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86751.

The product of its (nonzero) digits is 5120, while the sum is 29.

The square root of 4085414201 is about 63917.2449421907. The cubic root of 4085414201 is about 1598.6204516260.

It can be divided in two parts, 40854 and 14201, that added together give a palindrome (55055).

The spelling of 4085414201 in words is "four billion, eighty-five million, four hundred fourteen thousand, two hundred one".