439903187416920 has 256 divisors, whose sum is σ = 1341955920291840. Its totient is φ = 115346228871168.

The previous prime is 439903187416897. The next prime is 439903187416921. The reversal of 439903187416920 is 29614781309934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (439903187416921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5735560012 + ... + 5735636708.

It is an arithmetic number, because the mean of its divisors is an integer number (5242015313640).

Almost surely, 2^{439903187416920} is an apocalyptic number.

439903187416920 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 439903187416920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670977960145920).

439903187416920 is an abundant number, since it is smaller than the sum of its proper divisors (902052732874920).

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

439903187416920 is a wasteful number, since it uses less digits than its factorization.

439903187416920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79994 (or 79990 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 66.

The spelling of 439903187416920 in words is "four hundred thirty-nine trillion, nine hundred three billion, one hundred eighty-seven million, four hundred sixteen thousand, nine hundred twenty".