30404572128 has 504 divisors, whose sum is σ = 106225198632. Its totient is φ = 8535808512.

The previous prime is 30404572123. The next prime is 30404572147. The reversal of 30404572128 is 82127540403.

It is a happy number.

30404572128 is a `hidden beast` number, since 30 + 40 + 4 + 572 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30404572092 and 30404572101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30404572123) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 76585626 + ... + 76586022.

It is an arithmetic number, because the mean of its divisors is an integer number (210764283).

Almost surely, 2^30404572128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30404572128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53112599316).

30404572128 is an abundant number, since it is smaller than the sum of its proper divisors (75820626504).

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

30404572128 is an equidigital number, since it uses as much as digits as its factorization.

30404572128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 30404572128 in words is "thirty billion, four hundred four million, five hundred seventy-two thousand, one hundred twenty-eight".