214111414530 has 512 divisors, whose sum is σ = 672518246400. Its totient is φ = 47996043264.

The previous prime is 214111414511. The next prime is 214111414537. The reversal of 214111414530 is 35414111412.

It is a happy number.

214111414530 is a `hidden beast` number, since 2 + 1 + 4 + 1 + 114 + 14 + 530 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 214111414494 and 214111414503.

It is not an unprimeable number, because it can be changed into a prime (214111414537) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 249837862 + ... + 249838718.

It is an arithmetic number, because the mean of its divisors is an integer number (1313512200).

Almost surely, 2^214111414530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214111414530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336259123200).

214111414530 is an abundant number, since it is smaller than the sum of its proper divisors (458406831870).

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

214111414530 is a wasteful number, since it uses less digits than its factorization.

214111414530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 214111414530 its reverse (35414111412), we get a palindrome (249525525942).

The spelling of 214111414530 in words is "two hundred fourteen billion, one hundred eleven million, four hundred fourteen thousand, five hundred thirty".