4441809640320 has 768 divisors, whose sum is σ = 17201152051200. Its totient is φ = 1082679975936.

The previous prime is 4441809640319. The next prime is 4441809640351. The reversal of 4441809640320 is 230469081444.

4441809640320 is a `hidden beast` number, since 4 + 44 + 180 + 9 + 6 + 403 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 300785577 + ... + 300800343.

It is an arithmetic number, because the mean of its divisors is an integer number (22397333400).

Almost surely, 2^{4441809640320} is an apocalyptic number.

4441809640320 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 4441809640320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8600576025600).

4441809640320 is an abundant number, since it is smaller than the sum of its proper divisors (12759342410880).

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

4441809640320 is a wasteful number, since it uses less digits than its factorization.

4441809640320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14924 (or 14893 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 4441809640320 in words is "four trillion, four hundred forty-one billion, eight hundred nine million, six hundred forty thousand, three hundred twenty".