30444422400 has 432 divisors, whose sum is σ = 127589750400. Its totient is φ = 6958448640.

The previous prime is 30444422297. The next prime is 30444422413. The reversal of 30444422400 is 422444403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197016 + ... + 1222184.

Almost surely, 2^30444422400 is an apocalyptic number.

30444422400 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 30444422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63794875200).

30444422400 is an abundant number, since it is smaller than the sum of its proper divisors (97145328000).

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

30444422400 is a wasteful number, since it uses less digits than its factorization.

30444422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25211 (or 25186 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 27.

Adding to 30444422400 its reverse (422444403), we get a palindrome (30866866803).

The spelling of 30444422400 in words is "thirty billion, four hundred forty-four million, four hundred twenty-two thousand, four hundred".