30328063802400 has 1728 divisors, whose sum is σ = 125894496986496. Its totient is φ = 6284500992000.

The previous prime is 30328063802383. The next prime is 30328063802417. The reversal of 30328063802400 is 420836082303.

It is an interprime number because it is at equal distance from previous prime (30328063802383) and next prime (30328063802417).

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 287 ways as a sum of consecutive naturals, for example, 36940393990 + ... + 36940394810.

It is an arithmetic number, because the mean of its divisors is an integer number (72855611682).

Almost surely, 2^{30328063802400} is an apocalyptic number.

30328063802400 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 30328063802400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62947248493248).

30328063802400 is an abundant number, since it is smaller than the sum of its proper divisors (95566433184096).

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

30328063802400 is a wasteful number, since it uses less digits than its factorization.

30328063802400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

Adding to 30328063802400 its reverse (420836082303), we get a palindrome (30748899884703).

The spelling of 30328063802400 in words is "thirty trillion, three hundred twenty-eight billion, sixty-three million, eight hundred two thousand, four hundred".