30144113040 has 160 divisors (see below), whose sum is σ = 99575948160. Its totient is φ = 7517233152.

The previous prime is 30144113039. The next prime is 30144113059. The reversal of 30144113040 is 4031144103.

It is a junction number, because it is equal to n+sod(n) for n = 30144112998 and 30144113016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 617031 + ... + 664089.

It is an arithmetic number, because the mean of its divisors is an integer number (622349676).

Almost surely, 2^30144113040 is an apocalyptic number.

30144113040 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 30144113040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49787974080).

30144113040 is an abundant number, since it is smaller than the sum of its proper divisors (69431835120).

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

30144113040 is a wasteful number, since it uses less digits than its factorization.

30144113040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47249 (or 47243 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 30144113040 its reverse (4031144103), we get a palindrome (34175257143).

The spelling of 30144113040 in words is "thirty billion, one hundred forty-four million, one hundred thirteen thousand, forty".