30033428040 has 768 divisors, whose sum is σ = 125503672320. Its totient is φ = 6049105920.

The previous prime is 30033428039. The next prime is 30033428069. The reversal of 30033428040 is 4082433003.

30033428040 is a `hidden beast` number, since 300 + 334 + 28 + 0 + 4 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30033427995 and 30033428013.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 191295642 + ... + 191295798.

It is an arithmetic number, because the mean of its divisors is an integer number (163416240).

Almost surely, 2^30033428040 is an apocalyptic number.

30033428040 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 30033428040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62751836160).

30033428040 is an abundant number, since it is smaller than the sum of its proper divisors (95470244280).

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

30033428040 is a wasteful number, since it uses less digits than its factorization.

30033428040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The spelling of 30033428040 in words is "thirty billion, thirty-three million, four hundred twenty-eight thousand, forty".