444760067444 has 48 divisors (see below), whose sum is σ = 975413636736. Its totient is φ = 172385280000.

The previous prime is 444760067441. The next prime is 444760067459.

444760067444 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 444760067392 and 444760067401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444760067441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3681557 + ... + 3800444.

It is an arithmetic number, because the mean of its divisors is an integer number (20321117432).

Almost surely, 2^444760067444 is an apocalyptic number.

444760067444 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

444760067444 is an abundant number, since it is smaller than the sum of its proper divisors (530653569292).

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

444760067444 is a wasteful number, since it uses less digits than its factorization.

444760067444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482216 (or 7482214 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 50.

The spelling of 444760067444 in words is "four hundred forty-four billion, seven hundred sixty million, sixty-seven thousand, four hundred forty-four".