30241230400 has 84 divisors (see below), whose sum is σ = 74843141652. Its totient is φ = 12026460160.

The previous prime is 30241230389. The next prime is 30241230403. The reversal of 30241230400 is 403214203.

It can be written as a sum of positive squares in 6 ways, for example, as 57032704 + 30184197696 = 7552^2 + 173736^2 .

It is a super-2 number, since 2×30241230400² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30241230403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 222174 + ... + 331426.

Almost surely, 2^30241230400 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 30241230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37421570826).

30241230400 is an abundant number, since it is smaller than the sum of its proper divisors (44601911252).

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

30241230400 is a wasteful number, since it uses less digits than its factorization.

30241230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109448 (or 109433 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

Adding to 30241230400 its reverse (403214203), we get a palindrome (30644444603).

The spelling of 30241230400 in words is "thirty billion, two hundred forty-one million, two hundred thirty thousand, four hundred".