444320220314340 has 288 divisors, whose sum is σ = 1375400940705792. Its totient is φ = 116072414208000.

The previous prime is 444320220314261. The next prime is 444320220314359. The reversal of 444320220314340 is 43413022023444.

444320220314340 is a `hidden beast` number, since 4 + 4 + 4 + 320 + 220 + 31 + 43 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444320220314295 and 444320220314304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9048714229 + ... + 9048763331.

It is an arithmetic number, because the mean of its divisors is an integer number (4775697710784).

Almost surely, 2^{444320220314340} 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 444320220314340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687700470352896).

444320220314340 is an abundant number, since it is smaller than the sum of its proper divisors (931080720391452).

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

444320220314340 is a wasteful number, since it uses less digits than its factorization.

444320220314340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52491 (or 52486 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 444320220314340 its reverse (43413022023444), we get a palindrome (487733242337784).

The spelling of 444320220314340 in words is "four hundred forty-four trillion, three hundred twenty billion, two hundred twenty million, three hundred fourteen thousand, three hundred forty".