30000469933200 has 480 divisors, whose sum is σ = 104097382341120. Its totient is φ = 7341775257600.

The previous prime is 30000469933153. The next prime is 30000469933277. The reversal of 30000469933200 is 233996400003.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2389898124 + ... + 2389910676.

It is an arithmetic number, because the mean of its divisors is an integer number (216869546544).

Almost surely, 2^{30000469933200} is an apocalyptic number.

30000469933200 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 30000469933200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52048691170560).

30000469933200 is an abundant number, since it is smaller than the sum of its proper divisors (74096912407920).

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

30000469933200 is a wasteful number, since it uses less digits than its factorization.

30000469933200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13467 (or 13456 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The spelling of 30000469933200 in words is "thirty trillion, four hundred sixty-nine million, nine hundred thirty-three thousand, two hundred".