444131432330016 has 96 divisors (see below), whose sum is σ = 1185786784123200. Its totient is φ = 145512291041280.

The previous prime is 444131432329993. The next prime is 444131432330017. The reversal of 444131432330016 is 610033234131444.

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

It is not an unprimeable number, because it can be changed into a prime (444131432330017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30975276 + ... + 42985236.

It is an arithmetic number, because the mean of its divisors is an integer number (12351945667950).

Almost surely, 2^{444131432330016} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444131432330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592893392061600).

444131432330016 is an abundant number, since it is smaller than the sum of its proper divisors (741655351793184).

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

444131432330016 is a wasteful number, since it uses less digits than its factorization.

444131432330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12016562 (or 12016554 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 39.

The spelling of 444131432330016 in words is "four hundred forty-four trillion, one hundred thirty-one billion, four hundred thirty-two million, three hundred thirty thousand, sixteen".