30421102400 has 168 divisors, whose sum is σ = 80927554680. Its totient is φ = 11188592640.

The previous prime is 30421102363. The next prime is 30421102403. The reversal of 30421102400 is 420112403.

It can be written as a sum of positive squares in 12 ways, for example, as 20430700096 + 9990402304 = 142936^2 + 99952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30421102403) 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 23 ways as a sum of consecutive naturals, for example, 5592482 + ... + 5597918.

It is an arithmetic number, because the mean of its divisors is an integer number (481711635).

Almost surely, 2^30421102400 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 30421102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40463777340).

30421102400 is an abundant number, since it is smaller than the sum of its proper divisors (50506452280).

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

30421102400 is a wasteful number, since it uses less digits than its factorization.

30421102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5741 (or 5726 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 30421102400 its reverse (420112403), we get a palindrome (30841214803).

The spelling of 30421102400 in words is "thirty billion, four hundred twenty-one million, one hundred two thousand, four hundred".