444042410320 has 160 divisors (see below), whose sum is σ = 1078041000960. Its totient is φ = 169907712000.

The previous prime is 444042410309. The next prime is 444042410353. The reversal of 444042410320 is 23014240444.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87390180 + ... + 87395260.

It is an arithmetic number, because the mean of its divisors is an integer number (6737756256).

Almost surely, 2^444042410320 is an apocalyptic number.

444042410320 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 444042410320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539020500480).

444042410320 is an abundant number, since it is smaller than the sum of its proper divisors (633998590640).

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

444042410320 is a wasteful number, since it uses less digits than its factorization.

444042410320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5525 (or 5519 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 28.

Adding to 444042410320 its reverse (23014240444), we get a palindrome (467056650764).

The spelling of 444042410320 in words is "four hundred forty-four billion, forty-two million, four hundred ten thousand, three hundred twenty".