444538119168000 has 6048 divisors, whose sum is σ = 2028621376506816. Its totient is φ = 96268124160000.

The previous prime is 444538119167977. The next prime is 444538119168001. The reversal of 444538119168000 is 861911835444.

444538119168000 is a `hidden beast` number, since 4 + 4 + 4 + 538 + 1 + 19 + 16 + 80 + 0 + 0 = 666.

It is a super-2 number, since 2×444538119168000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444538119168001) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 14339939327985 + ... + 14339939328015.

It is an arithmetic number, because the mean of its divisors is an integer number (335420201142).

Almost surely, 2^{444538119168000} is an apocalyptic number.

444538119168000 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 444538119168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014310688253408).

444538119168000 is an abundant number, since it is smaller than the sum of its proper divisors (1584083257338816).

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

444538119168000 is an equidigital number, since it uses as much as digits as its factorization.

444538119168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 444538119168000 in words is "four hundred forty-four trillion, five hundred thirty-eight billion, one hundred nineteen million, one hundred sixty-eight thousand".