4221264621224 has 48 divisors (see below), whose sum is σ = 9207273657600. Its totient is φ = 1809078310368.

The previous prime is 4221264621199. The next prime is 4221264621227.

4221264621224 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (4221264621227) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36193547 + ... + 36309989.

It is an arithmetic number, because the mean of its divisors is an integer number (191818201200).

Almost surely, 2^{4221264621224} is an apocalyptic number.

It is an amenable number.

4221264621224 is an abundant number, since it is smaller than the sum of its proper divisors (4986009036376).

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

4221264621224 is a wasteful number, since it uses less digits than its factorization.

4221264621224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208942 (or 208931 counting only the distinct ones).

The product of its digits is 147456, while the sum is 38.

The spelling of 4221264621224 in words is "four trillion, two hundred twenty-one billion, two hundred sixty-four million, six hundred twenty-one thousand, two hundred twenty-four".