314404211120 has 80 divisors (see below), whose sum is σ = 791989086240. Its totient is φ = 115611267072.

The previous prime is 314404211117. The next prime is 314404211161. The reversal of 314404211120 is 21112404413.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 2629655 + ... + 2746614.

It is an arithmetic number, because the mean of its divisors is an integer number (9899863578).

Almost surely, 2^314404211120 is an apocalyptic number.

It is an amenable number.

314404211120 is an abundant number, since it is smaller than the sum of its proper divisors (477584875120).

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

314404211120 is a wasteful number, since it uses less digits than its factorization.

314404211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5376342 (or 5376336 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 314404211120 its reverse (21112404413), we get a palindrome (335516615533).

The spelling of 314404211120 in words is "three hundred fourteen billion, four hundred four million, two hundred eleven thousand, one hundred twenty".