314040431144 has 96 divisors (see below), whose sum is σ = 657022000320. Its totient is φ = 140694153600.

The previous prime is 314040431123. The next prime is 314040431153. The reversal of 314040431144 is 441134040413.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91475252 + ... + 91478684.

It is an arithmetic number, because the mean of its divisors is an integer number (6843979170).

Almost surely, 2^314040431144 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 314040431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328511000160).

314040431144 is an abundant number, since it is smaller than the sum of its proper divisors (342981569176).

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

314040431144 is an frugal number, since it uses more digits than its factorization.

314040431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3565 (or 3517 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 314040431144 its reverse (441134040413), we get a palindrome (755174471557).

The spelling of 314040431144 in words is "three hundred fourteen billion, forty million, four hundred thirty-one thousand, one hundred forty-four".