30424445440 has 80 divisors (see below), whose sum is σ = 73593613368. Its totient is φ = 12061966336.

The previous prime is 30424445407. The next prime is 30424445497. The reversal of 30424445440 is 4454442403.

It can be written as a sum of positive squares in 4 ways, for example, as 10640335104 + 19784110336 = 103152^2 + 140656^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30424445396 and 30424445405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236694 + ... + 341866.

Almost surely, 2^30424445440 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 30424445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796806684).

30424445440 is an abundant number, since it is smaller than the sum of its proper divisors (43169167928).

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

30424445440 is a wasteful number, since it uses less digits than its factorization.

30424445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105309 (or 105293 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 30424445440 its reverse (4454442403), we get a palindrome (34878887843).

The spelling of 30424445440 in words is "thirty billion, four hundred twenty-four million, four hundred forty-five thousand, four hundred forty".