444241312300000 has 288 divisors, whose sum is σ = 1218405194264160. Its totient is φ = 158441472000000.

The previous prime is 444241312299977. The next prime is 444241312300061. The reversal of 444241312300000 is 3213142444.

It is a super-2 number, since 2×444241312300000² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25423200 + ... + 39176800.

It is an arithmetic number, because the mean of its divisors is an integer number (4230573591195).

Almost surely, 2^{444241312300000} is an apocalyptic number.

444241312300000 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 444241312300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609202597132080).

444241312300000 is an abundant number, since it is smaller than the sum of its proper divisors (774163881964160).

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

444241312300000 is a wasteful number, since it uses less digits than its factorization.

444241312300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13753672 (or 13753644 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 444241312300000 its reverse (3213142444), we get a palindrome (444244525442444).

The spelling of 444241312300000 in words is "four hundred forty-four trillion, two hundred forty-one billion, three hundred twelve million, three hundred thousand".