314241412110 has 256 divisors, whose sum is σ = 819442344960. Its totient is φ = 76883558400.

The previous prime is 314241412109. The next prime is 314241412151. The reversal of 314241412110 is 11214142413.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 991297672 + ... + 991297988.

It is an arithmetic number, because the mean of its divisors is an integer number (3200946660).

Almost surely, 2^314241412110 is an apocalyptic number.

314241412110 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 314241412110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409721172480).

314241412110 is an abundant number, since it is smaller than the sum of its proper divisors (505200932850).

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

314241412110 is a wasteful number, since it uses less digits than its factorization.

314241412110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 314241412110 its reverse (11214142413), we get a palindrome (325455554523).

The spelling of 314241412110 in words is "three hundred fourteen billion, two hundred forty-one million, four hundred twelve thousand, one hundred ten".