30241214400 has 168 divisors, whose sum is σ = 99850823920. Its totient is φ = 8012759040.

The previous prime is 30241214383. The next prime is 30241214441. The reversal of 30241214400 is 441214203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 733536 + ... + 773664.

Almost surely, 2^30241214400 is an apocalyptic number.

30241214400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30241214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49925411960).

30241214400 is an abundant number, since it is smaller than the sum of its proper divisors (69609609520).

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

30241214400 is a wasteful number, since it uses less digits than its factorization.

30241214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40311 (or 40296 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 30241214400 its reverse (441214203), we get a palindrome (30682428603).

The spelling of 30241214400 in words is "thirty billion, two hundred forty-one million, two hundred fourteen thousand, four hundred".