30041340120 has 192 divisors, whose sum is σ = 110183392800. Its totient is φ = 7031592960.

The previous prime is 30041340047. The next prime is 30041340143. The reversal of 30041340120 is 2104314003.

30041340120 is a `hidden beast` number, since 300 + 4 + 1 + 340 + 1 + 20 = 666.

It is a super-2 number, since 2×30041340120² (a number of 22 digits) contains 22 as substring.

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 = 30041340093 and 30041340102.

It is a congruent number.

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, 15957 + ... + 245636.

Almost surely, 2^30041340120 is an apocalyptic number.

30041340120 is a gapful number since it is divisible by the number (30) 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 30041340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55091696400).

30041340120 is an abundant number, since it is smaller than the sum of its proper divisors (80142052680).

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

30041340120 is a wasteful number, since it uses less digits than its factorization.

30041340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261650 (or 261643 counting only the distinct ones).

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

Adding to 30041340120 its reverse (2104314003), we get a palindrome (32145654123).

The spelling of 30041340120 in words is "thirty billion, forty-one million, three hundred forty thousand, one hundred twenty".