444110313340000 has 480 divisors, whose sum is σ = 1152662309390592. Its totient is φ = 168158592000000.

The previous prime is 444110313339961. The next prime is 444110313340007. The reversal of 444110313340000 is 43313011444.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (444110313340007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6845387562 + ... + 6845452438.

Almost surely, 2^{444110313340000} is an apocalyptic number.

444110313340000 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 444110313340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576331154695296).

444110313340000 is an abundant number, since it is smaller than the sum of its proper divisors (708551996050592).

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

444110313340000 is a wasteful number, since it uses less digits than its factorization.

444110313340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65180 (or 65157 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 444110313340000 its reverse (43313011444), we get a palindrome (444153626351444).

The spelling of 444110313340000 in words is "four hundred forty-four trillion, one hundred ten billion, three hundred thirteen million, three hundred forty thousand".