30333400320 has 144 divisors (see below), whose sum is σ = 97186803840. Its totient is φ = 8063066112.

The previous prime is 30333400291. The next prime is 30333400333. The reversal of 30333400320 is 2300433303.

It is a super-2 number, since 2×30333400320² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204821 + ... + 1229739.

It is an arithmetic number, because the mean of its divisors is an integer number (674908360).

Almost surely, 2^30333400320 is an apocalyptic number.

30333400320 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 30333400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48593401920).

30333400320 is an abundant number, since it is smaller than the sum of its proper divisors (66853403520).

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

30333400320 is a wasteful number, since it uses less digits than its factorization.

30333400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25260 (or 25246 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 21.

Adding to 30333400320 its reverse (2300433303), we get a palindrome (32633833623).

The spelling of 30333400320 in words is "thirty billion, three hundred thirty-three million, four hundred thousand, three hundred twenty".