30424441000 has 128 divisors (see below), whose sum is σ = 75714406560. Its totient is φ = 11403264000.

The previous prime is 30424440953. The next prime is 30424441001. The reversal of 30424441000 is 14442403.

It can be written as a sum of positive squares in 16 ways, for example, as 440748036 + 29983692964 = 20994^2 + 173158^2 .

It is a super-2 number, since 2×30424441000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30424441001) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3957160 + ... + 3964840.

Almost surely, 2^30424441000 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 30424441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37857203280).

30424441000 is an abundant number, since it is smaller than the sum of its proper divisors (45289965560).

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

30424441000 is a wasteful number, since it uses less digits than its factorization.

30424441000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7952 (or 7938 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 30424441000 its reverse (14442403), we get a palindrome (30438883403).

The spelling of 30424441000 in words is "thirty billion, four hundred twenty-four million, four hundred forty-one thousand".