314434130010 has 256 divisors, whose sum is σ = 1040613654528. Its totient is φ = 58680806400.

The previous prime is 314434129987. The next prime is 314434130011. The reversal of 314434130010 is 10031434413.

It is not an unprimeable number, because it can be changed into a prime (314434130011) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 969615 + ... + 1252605.

It is an arithmetic number, because the mean of its divisors is an integer number (4064897088).

Almost surely, 2^314434130010 is an apocalyptic number.

314434130010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 314434130010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520306827264).

314434130010 is an abundant number, since it is smaller than the sum of its proper divisors (726179524518).

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

314434130010 is a wasteful number, since it uses less digits than its factorization.

314434130010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283069.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 314434130010 its reverse (10031434413), we get a palindrome (324465564423).

It can be divided in two parts, 314434 and 130010, that added together give a palindrome (444444).

The spelling of 314434130010 in words is "three hundred fourteen billion, four hundred thirty-four million, one hundred thirty thousand, ten".