4224040404224 has 72 divisors (see below), whose sum is σ = 8444127321000. Its totient is φ = 2108879732736.

The previous prime is 4224040404139. The next prime is 4224040404257.

4224040404224 is nontrivially palindromic in base 10.

4224040404224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28753306624 + 4195287097600 = 169568^2 + 2048240^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 958047332 + ... + 958051740.

It is an arithmetic number, because the mean of its divisors is an integer number (117279546125).

Almost surely, 2^{4224040404224} is an apocalyptic number.

It is an amenable number.

4224040404224 is a deficient number, since it is larger than the sum of its proper divisors (4220086916776).

4224040404224 is a wasteful number, since it uses less digits than its factorization.

4224040404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9143 (or 9129 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 32.

It can be divided in two parts, 4224040 and 404224, that added together give a palindrome (4628264).

The spelling of 4224040404224 in words is "four trillion, two hundred twenty-four billion, forty million, four hundred four thousand, two hundred twenty-four".