314440101200 has 60 divisors (see below), whose sum is σ = 756425452860. Its totient is φ = 125612359680.

The previous prime is 314440101179. The next prime is 314440101221. The reversal of 314440101200 is 2101044413.

It is an interprime number because it is at equal distance from previous prime (314440101179) and next prime (314440101221).

It can be written as a sum of positive squares in 6 ways, for example, as 2884119616 + 311555981584 = 53704^2 + 558172^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 203519 + ... + 818718.

It is an arithmetic number, because the mean of its divisors is an integer number (12607090881).

Almost surely, 2^314440101200 is an apocalyptic number.

It is an amenable number.

314440101200 is an abundant number, since it is smaller than the sum of its proper divisors (441985351660).

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

314440101200 is a wasteful number, since it uses less digits than its factorization.

314440101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023024 (or 1023013 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 314440101200 its reverse (2101044413), we get a palindrome (316541145613).

The spelling of 314440101200 in words is "three hundred fourteen billion, four hundred forty million, one hundred one thousand, two hundred".