440310311402120 has 128 divisors (see below), whose sum is σ = 1039340100902400. Its totient is φ = 167648497766400.

The previous prime is 440310311402089. The next prime is 440310311402141. The reversal of 440310311402120 is 21204113013044.

It is a self number, because there is not a number n which added to its sum of digits gives 440310311402120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128161317 + ... + 2128368203.

It is an arithmetic number, because the mean of its divisors is an integer number (8119844538300).

Almost surely, 2^{440310311402120} is an apocalyptic number.

440310311402120 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 440310311402120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519670050451200).

440310311402120 is an abundant number, since it is smaller than the sum of its proper divisors (599029789500280).

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

440310311402120 is a wasteful number, since it uses less digits than its factorization.

440310311402120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232839 (or 232835 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 440310311402120 its reverse (21204113013044), we get a palindrome (461514424415164).

The spelling of 440310311402120 in words is "four hundred forty trillion, three hundred ten billion, three hundred eleven million, four hundred two thousand, one hundred twenty".