30244414200 has 768 divisors, whose sum is σ = 129381719040. Its totient is φ = 5640192000.

The previous prime is 30244414183. The next prime is 30244414223. The reversal of 30244414200 is 241444203.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 22221520 + ... + 22222880.

It is an arithmetic number, because the mean of its divisors is an integer number (168465780).

Almost surely, 2^30244414200 is an apocalyptic number.

30244414200 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 30244414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64690859520).

30244414200 is an abundant number, since it is smaller than the sum of its proper divisors (99137304840).

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

30244414200 is a wasteful number, since it uses less digits than its factorization.

30244414200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1448 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 30244414200 its reverse (241444203), we get a palindrome (30485858403).

It can be divided in two parts, 30244 and 414200, that added together give a palindrome (444444).

The spelling of 30244414200 in words is "thirty billion, two hundred forty-four million, four hundred fourteen thousand, two hundred".