314401144200 has 576 divisors, whose sum is σ = 1156943450880. Its totient is φ = 70012800000.

The previous prime is 314401144171. The next prime is 314401144271. The reversal of 314401144200 is 2441104413.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 279964839 + ... + 279965961.

It is an arithmetic number, because the mean of its divisors is an integer number (2008582380).

Almost surely, 2^314401144200 is an apocalyptic number.

314401144200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 314401144200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578471725440).

314401144200 is an abundant number, since it is smaller than the sum of its proper divisors (842542306680).

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

314401144200 is a wasteful number, since it uses less digits than its factorization.

314401144200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 314401144200 its reverse (2441104413), we get a palindrome (316842248613).

The spelling of 314401144200 in words is "three hundred fourteen billion, four hundred one million, one hundred forty-four thousand, two hundred".