214211433000 has 128 divisors (see below), whose sum is σ = 668807792640. Its totient is φ = 57083040000.

The previous prime is 214211432969. The next prime is 214211433001. The reversal of 214211433000 is 334112412.

It is not an unprimeable number, because it can be changed into a prime (214211433001) 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, 4388730 + ... + 4437270.

It is an arithmetic number, because the mean of its divisors is an integer number (5225060880).

Almost surely, 2^214211433000 is an apocalyptic number.

214211433000 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 214211433000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334403896320).

214211433000 is an abundant number, since it is smaller than the sum of its proper divisors (454596359640).

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

214211433000 is a wasteful number, since it uses less digits than its factorization.

214211433000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50036 (or 50022 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 214211433000 its reverse (334112412), we get a palindrome (214545545412).

The spelling of 214211433000 in words is "two hundred fourteen billion, two hundred eleven million, four hundred thirty-three thousand".