314110133423240 has 512 divisors, whose sum is σ = 899011607408640. Its totient is φ = 95944930099200.

The previous prime is 314110133423209. The next prime is 314110133423287. The reversal of 314110133423240 is 42324331011413.

It is a junction number, because it is equal to n+sod(n) for n = 314110133423197 and 314110133423206.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10668399959 + ... + 10668429401.

It is an arithmetic number, because the mean of its divisors is an integer number (1755882045720).

Almost surely, 2^{314110133423240} 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 314110133423240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449505803704320).

314110133423240 is an abundant number, since it is smaller than the sum of its proper divisors (584901473985400).

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

314110133423240 is a wasteful number, since it uses less digits than its factorization.

314110133423240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29933 (or 29929 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 314110133423240 its reverse (42324331011413), we get a palindrome (356434464434653).

The spelling of 314110133423240 in words is "three hundred fourteen trillion, one hundred ten billion, one hundred thirty-three million, four hundred twenty-three thousand, two hundred forty".