444437303734444 has 96 divisors (see below), whose sum is σ = 795715357409280. Its totient is φ = 217138803840000.

The previous prime is 444437303734433. The next prime is 444437303734513.

It is a happy number.

444437303734444 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148096400944 + ... + 148096403944.

It is an arithmetic number, because the mean of its divisors is an integer number (8288701639680).

Almost surely, 2^{444437303734444} is an apocalyptic number.

It is an amenable number.

444437303734444 is a deficient number, since it is larger than the sum of its proper divisors (351278053674836).

444437303734444 is a wasteful number, since it uses less digits than its factorization.

444437303734444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6671 (or 6669 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 58.

The spelling of 444437303734444 in words is "four hundred forty-four trillion, four hundred thirty-seven billion, three hundred three million, seven hundred thirty-four thousand, four hundred forty-four".