444006110340 has 288 divisors, whose sum is σ = 1480644023040. Its totient is φ = 107024366592.

The previous prime is 444006110323. The next prime is 444006110363. The reversal of 444006110340 is 43011600444.

444006110340 is a `hidden beast` number, since 4 + 4 + 4 + 0 + 0 + 611 + 0 + 3 + 40 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 69820081 + ... + 69826439.

It is an arithmetic number, because the mean of its divisors is an integer number (5141125080).

Almost surely, 2^444006110340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 444006110340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740322011520).

444006110340 is an abundant number, since it is smaller than the sum of its proper divisors (1036637912700).

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

444006110340 is a wasteful number, since it uses less digits than its factorization.

444006110340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7003 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 444006110340 its reverse (43011600444), we get a palindrome (487017710784).

The spelling of 444006110340 in words is "four hundred forty-four billion, six million, one hundred ten thousand, three hundred forty".