30244200305440 has 288 divisors, whose sum is σ = 80383444485120. Its totient is φ = 10740495575040.

The previous prime is 30244200305437. The next prime is 30244200305443. The reversal of 30244200305440 is 4450300244203.

It is an interprime number because it is at equal distance from previous prime (30244200305437) and next prime (30244200305443).

It is not an unprimeable number, because it can be changed into a prime (30244200305443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421257066 + ... + 421328854.

It is an arithmetic number, because the mean of its divisors is an integer number (279109182240).

Almost surely, 2^{30244200305440} 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 30244200305440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40191722242560).

30244200305440 is an abundant number, since it is smaller than the sum of its proper divisors (50139244179680).

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

30244200305440 is a wasteful number, since it uses less digits than its factorization.

30244200305440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72336 (or 72317 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 31.

Adding to 30244200305440 its reverse (4450300244203), we get a palindrome (34694500549643).

The spelling of 30244200305440 in words is "thirty trillion, two hundred forty-four billion, two hundred million, three hundred five thousand, four hundred forty".