4441040000320 has 336 divisors, whose sum is σ = 13307465977344. Its totient is φ = 1381835980800.

The previous prime is 4441040000317. The next prime is 4441040000339. The reversal of 4441040000320 is 230000401444.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 4441040000291 and 4441040000300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160712905 + ... + 160740535.

It is an arithmetic number, because the mean of its divisors is an integer number (39605553504).

Almost surely, 2^{4441040000320} is an apocalyptic number.

4441040000320 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 4441040000320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6653732988672).

4441040000320 is an abundant number, since it is smaller than the sum of its proper divisors (8866425977024).

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

4441040000320 is a wasteful number, since it uses less digits than its factorization.

4441040000320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28270 (or 28249 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 4441040000320 its reverse (230000401444), we get a palindrome (4671040401764).

The spelling of 4441040000320 in words is "four trillion, four hundred forty-one billion, forty million, three hundred twenty", and thus it is an aban number.