314221300400 has 180 divisors, whose sum is σ = 888753319272. Its totient is φ = 106434478080.

The previous prime is 314221300373. The next prime is 314221300451. The reversal of 314221300400 is 4003122413.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1530224 + ... + 1723376.

Almost surely, 2^314221300400 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 314221300400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444376659636).

314221300400 is an abundant number, since it is smaller than the sum of its proper divisors (574532018872).

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

314221300400 is a wasteful number, since it uses less digits than its factorization.

314221300400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193268 (or 193250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 314221300400 its reverse (4003122413), we get a palindrome (318224422813).

The spelling of 314221300400 in words is "three hundred fourteen billion, two hundred twenty-one million, three hundred thousand, four hundred".