314441230040 has 128 divisors (see below), whose sum is σ = 825431040000. Its totient is φ = 107760530304.

The previous prime is 314441230001. The next prime is 314441230069. The reversal of 314441230040 is 40032144413.

It is a junction number, because it is equal to n+sod(n) for n = 314441229991 and 314441230009.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46082069 + ... + 46088891.

It is an arithmetic number, because the mean of its divisors is an integer number (6448680000).

Almost surely, 2^314441230040 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 314441230040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412715520000).

314441230040 is an abundant number, since it is smaller than the sum of its proper divisors (510989809960).

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

314441230040 is a wasteful number, since it uses less digits than its factorization.

314441230040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10214 (or 10196 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 314441230040 its reverse (40032144413), we get a palindrome (354473374453).

The spelling of 314441230040 in words is "three hundred fourteen billion, four hundred forty-one million, two hundred thirty thousand, forty".