444169550000 has 480 divisors, whose sum is σ = 1227521433600. Its totient is φ = 154224000000.

The previous prime is 444169549987. The next prime is 444169550009. The reversal of 444169550000 is 55961444.

It is not an unprimeable number, because it can be changed into a prime (444169550009) 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 95 ways as a sum of consecutive naturals, for example, 1858449881 + ... + 1858450119.

It is an arithmetic number, because the mean of its divisors is an integer number (2557336320).

Almost surely, 2^444169550000 is an apocalyptic number.

444169550000 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 444169550000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613760716800).

444169550000 is an abundant number, since it is smaller than the sum of its proper divisors (783351883600).

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

444169550000 is a wasteful number, since it uses less digits than its factorization.

444169550000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 444169550000 in words is "four hundred forty-four billion, one hundred sixty-nine million, five hundred fifty thousand".