314401005200 has 120 divisors (see below), whose sum is σ = 774436995360. Its totient is φ = 122587571200.

The previous prime is 314401005187. The next prime is 314401005203. The reversal of 314401005200 is 2500104413.

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

It is not an unprimeable number, because it can be changed into a prime (314401005203) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20639987 + ... + 20655213.

It is an arithmetic number, because the mean of its divisors is an integer number (6453641628).

Almost surely, 2^314401005200 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 314401005200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387218497680).

314401005200 is an abundant number, since it is smaller than the sum of its proper divisors (460035990160).

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

314401005200 is a wasteful number, since it uses less digits than its factorization.

314401005200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16545 (or 16534 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 314401005200 its reverse (2500104413), we get a palindrome (316901109613).

The spelling of 314401005200 in words is "three hundred fourteen billion, four hundred one million, five thousand, two hundred".