30428001438912 has 1680 divisors, whose sum is σ = 117905985046080. Its totient is φ = 7585852538880.

The previous prime is 30428001438889. The next prime is 30428001438931. The reversal of 30428001438912 is 21983410082403.

30428001438912 is a `hidden beast` number, since 3 + 0 + 428 + 0 + 0 + 143 + 89 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 25084914018 + ... + 25084915230.

It is an arithmetic number, because the mean of its divisors is an integer number (70182133956).

Almost surely, 2^{30428001438912} is an apocalyptic number.

30428001438912 is a gapful number since it is divisible by the number (32) 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 30428001438912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58952992523040).

30428001438912 is an abundant number, since it is smaller than the sum of its proper divisors (87477983607168).

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

30428001438912 is a wasteful number, since it uses less digits than its factorization.

30428001438912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 30428001438912 in words is "thirty trillion, four hundred twenty-eight billion, one million, four hundred thirty-eight thousand, nine hundred twelve".