214130414244330 has 192 divisors, whose sum is σ = 579502555890336. Its totient is φ = 54812298240000.

The previous prime is 214130414244311. The next prime is 214130414244337. The reversal of 214130414244330 is 33442414031412.

214130414244330 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 304 + 14 + 2 + 4 + 4 + 330 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 137452668408441 + 76677745835889 = 11724021^2 + 8756583^2 .

It is not an unprimeable number, because it can be changed into a prime (214130414244337) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93375870 + ... + 95641590.

Almost surely, 2^{214130414244330} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214130414244330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289751277945168).

214130414244330 is an abundant number, since it is smaller than the sum of its proper divisors (365372141646006).

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

214130414244330 is a wasteful number, since it uses less digits than its factorization.

214130414244330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2266153 (or 2266150 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 214130414244330 its reverse (33442414031412), we get a palindrome (247572828275742).

The spelling of 214130414244330 in words is "two hundred fourteen trillion, one hundred thirty billion, four hundred fourteen million, two hundred forty-four thousand, three hundred thirty".