30430041120 has 120 divisors (see below), whose sum is σ = 107392732524. Its totient is φ = 8114674176.

The previous prime is 30430041079. The next prime is 30430041133. The reversal of 30430041120 is 2114003403.

30430041120 is a `hidden beast` number, since 304 + 300 + 41 + 1 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28836115344 + 1593925776 = 169812^2 + 39924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30430041093 and 30430041102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1161039 + ... + 1186958.

Almost surely, 2^30430041120 is an apocalyptic number.

30430041120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30430041120 is an abundant number, since it is smaller than the sum of its proper divisors (76962691404).

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

30430041120 is a wasteful number, since it uses less digits than its factorization.

30430041120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2348024 (or 2348007 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30430041120 its reverse (2114003403), we get a palindrome (32544044523).

The spelling of 30430041120 in words is "thirty billion, four hundred thirty million, forty-one thousand, one hundred twenty".