4224262624224 has 24 divisors (see below), whose sum is σ = 11088689388840. Its totient is φ = 1408087541376.

The previous prime is 4224262624213. The next prime is 4224262624237.

4224262624224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22001367739 + ... + 22001367930.

It is an arithmetic number, because the mean of its divisors is an integer number (462028724535).

Almost surely, 2^{4224262624224} is an apocalyptic number.

It is an amenable number.

4224262624224 is an abundant number, since it is smaller than the sum of its proper divisors (6864426764616).

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

4224262624224 is a wasteful number, since it uses less digits than its factorization.

4224262624224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44002735682 (or 44002735674 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 42.

The spelling of 4224262624224 in words is "four trillion, two hundred twenty-four billion, two hundred sixty-two million, six hundred twenty-four thousand, two hundred twenty-four".