444240262042444 has 48 divisors (see below), whose sum is σ = 917188374187008. Its totient is φ = 184315366948608.

The previous prime is 444240262042387. The next prime is 444240262042477.

444240262042444 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×444240262042444² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 444240262042394 and 444240262042403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1632475972 + ... + 1632748075.

It is an arithmetic number, because the mean of its divisors is an integer number (19108091128896).

Almost surely, 2^{444240262042444} is an apocalyptic number.

It is an amenable number.

444240262042444 is an abundant number, since it is smaller than the sum of its proper divisors (472948112144564).

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

444240262042444 is a wasteful number, since it uses less digits than its factorization.

444240262042444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3265224214 (or 3265224212 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 46.

The spelling of 444240262042444 in words is "four hundred forty-four trillion, two hundred forty billion, two hundred sixty-two million, forty-two thousand, four hundred forty-four".