444641322542340 has 384 divisors, whose sum is σ = 1571331108372480. Its totient is φ = 91254996518400.

The previous prime is 444641322542323. The next prime is 444641322542341. The reversal of 444641322542340 is 43245223146444.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 444641322542340.

It is not an unprimeable number, because it can be changed into a prime (444641322542341) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1425931845 + ... + 1426243635.

It is an arithmetic number, because the mean of its divisors is an integer number (4092008094720).

Almost surely, 2^{444641322542340} 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 444641322542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785665554186240).

444641322542340 is an abundant number, since it is smaller than the sum of its proper divisors (1126689785830140).

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

444641322542340 is a wasteful number, since it uses less digits than its factorization.

444641322542340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315623 (or 315621 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 48.

Adding to 444641322542340 its reverse (43245223146444), we get a palindrome (487886545688784).

The spelling of 444641322542340 in words is "four hundred forty-four trillion, six hundred forty-one billion, three hundred twenty-two million, five hundred forty-two thousand, three hundred forty".