30441122400 has 576 divisors, whose sum is σ = 111620980800. Its totient is φ = 7156531200.

The previous prime is 30441122363. The next prime is 30441122401. The reversal of 30441122400 is 422114403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30441122401) 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 95 ways as a sum of consecutive naturals, for example, 67797376 + ... + 67797824.

It is an arithmetic number, because the mean of its divisors is an integer number (193786425).

Almost surely, 2^30441122400 is an apocalyptic number.

30441122400 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 30441122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55810490400).

30441122400 is an abundant number, since it is smaller than the sum of its proper divisors (81179858400).

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

30441122400 is a wasteful number, since it uses less digits than its factorization.

30441122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 566 counting only the distinct ones).

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

Adding to 30441122400 its reverse (422114403), we get a palindrome (30863236803).

The spelling of 30441122400 in words is "thirty billion, four hundred forty-one million, one hundred twenty-two thousand, four hundred".