4221415585167 has 32 divisors (see below), whose sum is σ = 6283387207680. Its totient is φ = 2498796004320.

The previous prime is 4221415585147. The next prime is 4221415585187. The reversal of 4221415585167 is 7615855141224.

It is an interprime number because it is at equal distance from previous prime (4221415585147) and next prime (4221415585187).

It is not a de Polignac number, because 4221415585167 - 2¹⁸ = 4221415323023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4221415585117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28987068 + ... + 29132334.

It is an arithmetic number, because the mean of its divisors is an integer number (196355850240).

Almost surely, 2^{4221415585167} is an apocalyptic number.

4221415585167 is a deficient number, since it is larger than the sum of its proper divisors (2061971622513).

4221415585167 is a wasteful number, since it uses less digits than its factorization.

4221415585167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165803.

The product of its digits is 2688000, while the sum is 51.

The spelling of 4221415585167 in words is "four trillion, two hundred twenty-one billion, four hundred fifteen million, five hundred eighty-five thousand, one hundred sixty-seven".