4216211657 has 16 divisors (see below), whose sum is σ = 4942259712. Its totient is φ = 3521760000.

The previous prime is 4216211653. The next prime is 4216211683. The reversal of 4216211657 is 7561126124.

It is a cyclic number.

It is not a de Polignac number, because 4216211657 - 2² = 4216211653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4216211653) 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 15 ways as a sum of consecutive naturals, for example, 49157 + ... + 104157.

It is an arithmetic number, because the mean of its divisors is an integer number (308891232).

Almost surely, 2^4216211657 is an apocalyptic number.

4216211657 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

It is an amenable number.

4216211657 is a deficient number, since it is larger than the sum of its proper divisors (726048055).

4216211657 is a wasteful number, since it uses less digits than its factorization.

4216211657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55288.

The product of its digits is 20160, while the sum is 35.

The square root of 4216211657 is about 64932.3621701844. The cubic root of 4216211657 is about 1615.5018817381.

The spelling of 4216211657 in words is "four billion, two hundred sixteen million, two hundred eleven thousand, six hundred fifty-seven".