4404434437728 has 144 divisors (see below), whose sum is σ = 13612330171440. Its totient is φ = 1342777347072.

The previous prime is 4404434437727. The next prime is 4404434437757. The reversal of 4404434437728 is 8277344344044.

It is a happy number.

4404434437728 is a `hidden beast` number, since 440 + 44 + 34 + 43 + 77 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4404434437727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4988226 + ... + 5804417.

It is an arithmetic number, because the mean of its divisors is an integer number (94530070635).

Almost surely, 2^{4404434437728} is an apocalyptic number.

4404434437728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4404434437728 is an abundant number, since it is smaller than the sum of its proper divisors (9207895733712).

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

4404434437728 is a wasteful number, since it uses less digits than its factorization.

4404434437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792781 (or 10792770 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 54.

The spelling of 4404434437728 in words is "four trillion, four hundred four billion, four hundred thirty-four million, four hundred thirty-seven thousand, seven hundred twenty-eight".