214130114240 has 224 divisors, whose sum is σ = 602341761024. Its totient is φ = 70952878080.

The previous prime is 214130114203. The next prime is 214130114243. The reversal of 214130114240 is 42411031412.

214130114240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (214130114243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68257952 + ... + 68261088.

Almost surely, 2^214130114240 is an apocalyptic number.

214130114240 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 214130114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301170880512).

214130114240 is an abundant number, since it is smaller than the sum of its proper divisors (388211646784).

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

214130114240 is a wasteful number, since it uses less digits than its factorization.

214130114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4165 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 214130114240 its reverse (42411031412), we get a palindrome (256541145652).

The spelling of 214130114240 in words is "two hundred fourteen billion, one hundred thirty million, one hundred fourteen thousand, two hundred forty".