30533060336400 has 360 divisors, whose sum is σ = 112558232072000. Its totient is φ = 7642846264320.

The previous prime is 30533060336377. The next prime is 30533060336407. The reversal of 30533060336400 is 463306033503.

30533060336400 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 3 + 0 + 6 + 0 + 3 + 3 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30533060336407) 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 71 ways as a sum of consecutive naturals, for example, 5407941 + ... + 9503259.

Almost surely, 2^{30533060336400} is an apocalyptic number.

30533060336400 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 30533060336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56279116036000).

30533060336400 is an abundant number, since it is smaller than the sum of its proper divisors (82025171735600).

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

30533060336400 is a wasteful number, since it uses less digits than its factorization.

30533060336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095471 (or 4095457 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 36.

Adding to 30533060336400 its reverse (463306033503), we get a palindrome (30996366369903).

The spelling of 30533060336400 in words is "thirty trillion, five hundred thirty-three billion, sixty million, three hundred thirty-six thousand, four hundred".