4433220223344 has 180 divisors, whose sum is σ = 14355044977000. Its totient is φ = 1272694705920.

The previous prime is 4433220223309. The next prime is 4433220223351.

4433220223344 is a `hidden beast` number, since 4 + 43 + 32 + 20 + 223 + 344 = 666.

4433220223344 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4433220223299 and 4433220223308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6364519 + ... + 7026630.

Almost surely, 2^{4433220223344} is an apocalyptic number.

4433220223344 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4433220223344 is an abundant number, since it is smaller than the sum of its proper divisors (9921824753656).

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

4433220223344 is a wasteful number, since it uses less digits than its factorization.

4433220223344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13391204 (or 13391184 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 36.

It can be divided in two parts, 4433220 and 223344, that added together give a palindrome (4656564).

The spelling of 4433220223344 in words is "four trillion, four hundred thirty-three billion, two hundred twenty million, two hundred twenty-three thousand, three hundred forty-four".