4221413656164 has 48 divisors (see below), whose sum is σ = 10951453477440. Its totient is φ = 1406231752320.

The previous prime is 4221413656157. The next prime is 4221413656169. The reversal of 4221413656164 is 4616563141224.

4221413656164 is a `hidden beast` number, since 4 + 2 + 2 + 14 + 13 + 6 + 5 + 616 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4221413656169) 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, 12416682 + ... + 12752129.

It is an arithmetic number, because the mean of its divisors is an integer number (228155280780).

Almost surely, 2^{4221413656164} is an apocalyptic number.

It is an amenable number.

4221413656164 is an abundant number, since it is smaller than the sum of its proper divisors (6730039821276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4221413656164 is a wasteful number, since it uses less digits than its factorization.

4221413656164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25170377 (or 25170369 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

Adding to 4221413656164 its reverse (4616563141224), we get a palindrome (8837976797388).

The spelling of 4221413656164 in words is "four trillion, two hundred twenty-one billion, four hundred thirteen million, six hundred fifty-six thousand, one hundred sixty-four".