30424251040 has 96 divisors (see below), whose sum is σ = 72353218896. Its totient is φ = 12089425920.

The previous prime is 30424251031. The next prime is 30424251047. The reversal of 30424251040 is 4015242403.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5494367376 + 24929883664 = 74124^2 + 157892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 30424250996 and 30424251014.

It is not an unprimeable number, because it can be changed into a prime (30424251047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17677380 + ... + 17679100.

Almost surely, 2^30424251040 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 30424251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36176609448).

30424251040 is an abundant number, since it is smaller than the sum of its proper divisors (41928967856).

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

30424251040 is a wasteful number, since it uses less digits than its factorization.

30424251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

Adding to 30424251040 its reverse (4015242403), we get a palindrome (34439493443).

The spelling of 30424251040 in words is "thirty billion, four hundred twenty-four million, two hundred fifty-one thousand, forty".