444631162210441 has 12 divisors (see below), whose sum is σ = 496868259814452. Its totient is φ = 396451314906624.

The previous prime is 444631162210439. The next prime is 444631162210463. The reversal of 444631162210441 is 144012261136444.

It can be written as a sum of positive squares in 2 ways, for example, as 335911002015625 + 108720160194816 = 18327875^2 + 10426896^2 .

It is not a de Polignac number, because 444631162210441 - 2¹ = 444631162210439 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (444631162210421) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36225442960 + ... + 36225455233.

It is an arithmetic number, because the mean of its divisors is an integer number (41405688317871).

Almost surely, 2^{444631162210441} is an apocalyptic number.

It is an amenable number.

444631162210441 is a deficient number, since it is larger than the sum of its proper divisors (52237097604011).

444631162210441 is a wasteful number, since it uses less digits than its factorization.

444631162210441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72450898248 (or 72450898229 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 444631162210441 in words is "four hundred forty-four trillion, six hundred thirty-one billion, one hundred sixty-two million, two hundred ten thousand, four hundred forty-one".