4424581633920 has 1024 divisors, whose sum is σ = 16925863680000. Its totient is φ = 961837793280.

The previous prime is 4424581633889. The next prime is 4424581633933. The reversal of 4424581633920 is 293361854244.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9854301856 + ... + 9854302304.

It is an arithmetic number, because the mean of its divisors is an integer number (16529163750).

Almost surely, 2^{4424581633920} is an apocalyptic number.

4424581633920 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 4424581633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8462931840000).

4424581633920 is an abundant number, since it is smaller than the sum of its proper divisors (12501282046080).

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

4424581633920 is a wasteful number, since it uses less digits than its factorization.

4424581633920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 831 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 4424581633920 in words is "four trillion, four hundred twenty-four billion, five hundred eighty-one million, six hundred thirty-three thousand, nine hundred twenty".