444413444665040 has 80 divisors (see below), whose sum is σ = 1122728702430720. Its totient is φ = 162976747092480.

The previous prime is 444413444664989. The next prime is 444413444665049. The reversal of 444413444665040 is 40566444314444.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444413444665049) 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, 4715715239 + ... + 4715809478.

It is an arithmetic number, because the mean of its divisors is an integer number (14034108780384).

Almost surely, 2^{444413444665040} is an apocalyptic number.

444413444665040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444413444665040 is an abundant number, since it is smaller than the sum of its proper divisors (678315257765680).

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

444413444665040 is a wasteful number, since it uses less digits than its factorization.

444413444665040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9431524780 (or 9431524774 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 53.

Adding to 444413444665040 its reverse (40566444314444), we get a palindrome (484979888979484).

The spelling of 444413444665040 in words is "four hundred forty-four trillion, four hundred thirteen billion, four hundred forty-four million, six hundred sixty-five thousand, forty".