444353165120 has 112 divisors (see below), whose sum is σ = 1066862301120. Its totient is φ = 176274591744.

The previous prime is 444353165117. The next prime is 444353165209. The reversal of 444353165120 is 21561353444.

It is a super-2 number, since 2×444353165120² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 52033811 + ... + 52042349.

It is an arithmetic number, because the mean of its divisors is an integer number (9525556260).

Almost surely, 2^444353165120 is an apocalyptic number.

444353165120 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 444353165120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533431150560).

444353165120 is an abundant number, since it is smaller than the sum of its proper divisors (622509136000).

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

444353165120 is a wasteful number, since it uses less digits than its factorization.

444353165120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9880 (or 9870 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 38.

The spelling of 444353165120 in words is "four hundred forty-four billion, three hundred fifty-three million, one hundred sixty-five thousand, one hundred twenty".