440420024020 has 96 divisors (see below), whose sum is σ = 980687473920. Its totient is φ = 165855513600.

The previous prime is 440420024003. The next prime is 440420024071. The reversal of 440420024020 is 20420024044.

It is a junction number, because it is equal to n+sod(n) for n = 440420023982 and 440420024000.

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 31 ways as a sum of consecutive naturals, for example, 14974249 + ... + 15003631.

It is an arithmetic number, because the mean of its divisors is an integer number (10215494520).

Almost surely, 2^440420024020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440420024020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490343736960).

440420024020 is an abundant number, since it is smaller than the sum of its proper divisors (540267449900).

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

440420024020 is a wasteful number, since it uses less digits than its factorization.

440420024020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30065 (or 30063 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

Adding to 440420024020 its reverse (20420024044), we get a palindrome (460840048064).

The spelling of 440420024020 in words is "four hundred forty billion, four hundred twenty million, twenty-four thousand, twenty".