444346032634320 has 320 divisors, whose sum is σ = 1418060973288960. Its totient is φ = 115016348565504.

The previous prime is 444346032634289. The next prime is 444346032634391. The reversal of 444346032634320 is 23436230643444.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 444346032634320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6384889444 + ... + 6384959036.

It is an arithmetic number, because the mean of its divisors is an integer number (4431440541528).

Almost surely, 2^{444346032634320} is an apocalyptic number.

444346032634320 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 444346032634320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709030486644480).

444346032634320 is an abundant number, since it is smaller than the sum of its proper divisors (973714940654640).

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

444346032634320 is a wasteful number, since it uses less digits than its factorization.

444346032634320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71342 (or 71336 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 48.

The spelling of 444346032634320 in words is "four hundred forty-four trillion, three hundred forty-six billion, thirty-two million, six hundred thirty-four thousand, three hundred twenty".