444445430160 has 80 divisors (see below), whose sum is σ = 1422225400320. Its totient is φ = 114695592960.

The previous prime is 444445430141. The next prime is 444445430179. The reversal of 444445430160 is 61034544444.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (444445430141) and next prime (444445430179).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29861205 + ... + 29876084.

It is an arithmetic number, because the mean of its divisors is an integer number (17777817504).

Almost surely, 2^444445430160 is an apocalyptic number.

444445430160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444445430160 is an abundant number, since it is smaller than the sum of its proper divisors (977779970160).

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

444445430160 is a wasteful number, since it uses less digits than its factorization.

444445430160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59737336 (or 59737330 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 39.

The spelling of 444445430160 in words is "four hundred forty-four billion, four hundred forty-five million, four hundred thirty thousand, one hundred sixty".