444235865160 has 128 divisors (see below), whose sum is σ = 1412017401600. Its totient is φ = 111422177280.

The previous prime is 444235865153. The next prime is 444235865191. The reversal of 444235865160 is 61568532444.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3110520 + ... + 3250200.

It is an arithmetic number, because the mean of its divisors is an integer number (11031385950).

Almost surely, 2^444235865160 is an apocalyptic number.

444235865160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444235865160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706008700800).

444235865160 is an abundant number, since it is smaller than the sum of its proper divisors (967781536440).

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

444235865160 is a wasteful number, since it uses less digits than its factorization.

444235865160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141271 (or 141267 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 48.

The spelling of 444235865160 in words is "four hundred forty-four billion, two hundred thirty-five million, eight hundred sixty-five thousand, one hundred sixty".