214231230344420 has 384 divisors, whose sum is σ = 498218447462400. Its totient is φ = 77151191040000.

The previous prime is 214231230344419. The next prime is 214231230344503. The reversal of 214231230344420 is 24443032132412.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 99135228140 + ... + 99135230300.

It is an arithmetic number, because the mean of its divisors is an integer number (1297443873600).

Almost surely, 2^{214231230344420} is an apocalyptic number.

214231230344420 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 214231230344420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249109223731200).

214231230344420 is an abundant number, since it is smaller than the sum of its proper divisors (283987217117980).

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

214231230344420 is a wasteful number, since it uses less digits than its factorization.

214231230344420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3869 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 35.

Adding to 214231230344420 its reverse (24443032132412), we get a palindrome (238674262476832).

The spelling of 214231230344420 in words is "two hundred fourteen trillion, two hundred thirty-one billion, two hundred thirty million, three hundred forty-four thousand, four hundred twenty".