4224456544224 has 96 divisors (see below), whose sum is σ = 12679304391936. Its totient is φ = 1206422369280.

The previous prime is 4224456544201. The next prime is 4224456544241.

4224456544224 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34782 + ... + 2906909.

It is an arithmetic number, because the mean of its divisors is an integer number (132076087416).

Almost surely, 2^{4224456544224} is an apocalyptic number.

It is an amenable number.

4224456544224 is an abundant number, since it is smaller than the sum of its proper divisors (8454847847712).

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

4224456544224 is a wasteful number, since it uses less digits than its factorization.

4224456544224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2943848 (or 2943840 counting only the distinct ones).

The product of its digits is 9830400, while the sum is 48.

The spelling of 4224456544224 in words is "four trillion, two hundred twenty-four billion, four hundred fifty-six million, five hundred forty-four thousand, two hundred twenty-four".