30114411024132 has 144 divisors (see below), whose sum is σ = 80864325268272. Its totient is φ = 9416738242560.

The previous prime is 30114411024053. The next prime is 30114411024157. The reversal of 30114411024132 is 23142011441103.

It is a happy number.

30114411024132 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 4 + 411 + 0 + 241 + 3 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3027860676 + 30111383163456 = 55026^2 + 5487384^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30114411024096 and 30114411024105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 509167282 + ... + 509226422.

It is an arithmetic number, because the mean of its divisors is an integer number (561557814363).

Almost surely, 2^{30114411024132} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30114411024132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40432162634136).

30114411024132 is an abundant number, since it is smaller than the sum of its proper divisors (50749914244140).

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

30114411024132 is a wasteful number, since it uses less digits than its factorization.

30114411024132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61878 (or 61873 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 30114411024132 its reverse (23142011441103), we get a palindrome (53256422465235).

The spelling of 30114411024132 in words is "thirty trillion, one hundred fourteen billion, four hundred eleven million, twenty-four thousand, one hundred thirty-two".