444412464214444 has 72 divisors (see below), whose sum is σ = 856278994636800. Its totient is φ = 201668317778400.

The previous prime is 444412464214379. The next prime is 444412464214529.

444412464214444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444412464214391 and 444412464214400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8397949017 + ... + 8398001935.

It is an arithmetic number, because the mean of its divisors is an integer number (11892763814400).

Almost surely, 2^{444412464214444} is an apocalyptic number.

444412464214444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444412464214444 is a deficient number, since it is larger than the sum of its proper divisors (411866530422356).

444412464214444 is a wasteful number, since it uses less digits than its factorization.

444412464214444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81595 (or 81582 counting only the distinct ones).

The product of its digits is 25165824, while the sum is 52.

The spelling of 444412464214444 in words is "four hundred forty-four trillion, four hundred twelve billion, four hundred sixty-four million, two hundred fourteen thousand, four hundred forty-four".