30144041120 has 48 divisors (see below), whose sum is σ = 74963478240. Its totient is φ = 11423003904.

The previous prime is 30144041107. The next prime is 30144041131. The reversal of 30144041120 is 2114044103.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 30144041092 and 30144041101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4954862 + ... + 4960941.

It is an arithmetic number, because the mean of its divisors is an integer number (1561739130).

Almost surely, 2^30144041120 is an apocalyptic number.

It is an amenable number.

30144041120 is an abundant number, since it is smaller than the sum of its proper divisors (44819437120).

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

30144041120 is a wasteful number, since it uses less digits than its factorization.

30144041120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9915837 (or 9915829 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 30144041120 its reverse (2114044103), we get a palindrome (32258085223).

The spelling of 30144041120 in words is "thirty billion, one hundred forty-four million, forty-one thousand, one hundred twenty".