214441313000 has 128 divisors (see below), whose sum is σ = 508764672000. Its totient is φ = 84587443200.

The previous prime is 214441312973. The next prime is 214441313003. The reversal of 214441313000 is 313144412.

It is not an unprimeable number, because it can be changed into a prime (214441313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117630089 + ... + 117631911.

It is an arithmetic number, because the mean of its divisors is an integer number (3974724000).

Almost surely, 2^214441313000 is an apocalyptic number.

214441313000 is a gapful number since it is divisible by the number (20) 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 214441313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254382336000).

214441313000 is an abundant number, since it is smaller than the sum of its proper divisors (294323359000).

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

214441313000 is a wasteful number, since it uses less digits than its factorization.

214441313000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3398 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 214441313000 its reverse (313144412), we get a palindrome (214754457412).

The spelling of 214441313000 in words is "two hundred fourteen billion, four hundred forty-one million, three hundred thirteen thousand".