30530724400 has 480 divisors, whose sum is σ = 88078648320. Its totient is φ = 10053120000.

The previous prime is 30530724353. The next prime is 30530724457. The reversal of 30530724400 is 442703503.

It is an unprimeable number.

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, 296414749 + ... + 296414851.

It is an arithmetic number, because the mean of its divisors is an integer number (183497184).

Almost surely, 2^30530724400 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 30530724400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44039324160).

30530724400 is an abundant number, since it is smaller than the sum of its proper divisors (57547923920).

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

30530724400 is a wasteful number, since it uses less digits than its factorization.

30530724400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 28.

The spelling of 30530724400 in words is "thirty billion, five hundred thirty million, seven hundred twenty-four thousand, four hundred".