314421122110420 has 96 divisors (see below), whose sum is σ = 735768338447520. Its totient is φ = 112064345917440.

The previous prime is 314421122110367. The next prime is 314421122110423. The reversal of 314421122110420 is 24011221124413.

It can be written as a sum of positive squares in 16 ways, for example, as 263745460218564 + 50675661891856 = 16240242^2 + 7118684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314421122110423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27165150 + ... + 36970090.

It is an arithmetic number, because the mean of its divisors is an integer number (7664253525495).

Almost surely, 2^{314421122110420} 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 314421122110420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367884169223760).

314421122110420 is an abundant number, since it is smaller than the sum of its proper divisors (421347216337100).

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

314421122110420 is a wasteful number, since it uses less digits than its factorization.

314421122110420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9809245 (or 9809243 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 314421122110420 its reverse (24011221124413), we get a palindrome (338432343234833).

The spelling of 314421122110420 in words is "three hundred fourteen trillion, four hundred twenty-one billion, one hundred twenty-two million, one hundred ten thousand, four hundred twenty".