440102014424120 has 128 divisors (see below), whose sum is σ = 1011877272000000. Its totient is φ = 172222968033792.

The previous prime is 440102014424113. The next prime is 440102014424213. The reversal of 440102014424120 is 21424410201044.

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, 447632831 + ... + 448614929.

It is an arithmetic number, because the mean of its divisors is an integer number (7905291187500).

Almost surely, 2^{440102014424120} is an apocalyptic number.

440102014424120 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 440102014424120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505938636000000).

440102014424120 is an abundant number, since it is smaller than the sum of its proper divisors (571775257575880).

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

440102014424120 is a wasteful number, since it uses less digits than its factorization.

440102014424120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983085 (or 983081 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 29.

Adding to 440102014424120 its reverse (21424410201044), we get a palindrome (461526424625164).

The spelling of 440102014424120 in words is "four hundred forty trillion, one hundred two billion, fourteen million, four hundred twenty-four thousand, one hundred twenty".