30408128884224 has 640 divisors, whose sum is σ = 110922400512000. Its totient is φ = 8009545089024.

The previous prime is 30408128884193. The next prime is 30408128884241. The reversal of 30408128884224 is 42248882180403.

It is a happy number.

30408128884224 is a `hidden beast` number, since 3 + 0 + 40 + 81 + 28 + 88 + 422 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1017694117 + ... + 1017723995.

It is an arithmetic number, because the mean of its divisors is an integer number (173316250800).

Almost surely, 2^{30408128884224} 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 30408128884224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55461200256000).

30408128884224 is an abundant number, since it is smaller than the sum of its proper divisors (80514271627776).

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

30408128884224 is a wasteful number, since it uses less digits than its factorization.

30408128884224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30735 (or 30713 counting only the distinct ones).

The product of its (nonzero) digits is 6291456, while the sum is 54.

The spelling of 30408128884224 in words is "thirty trillion, four hundred eight billion, one hundred twenty-eight million, eight hundred eighty-four thousand, two hundred twenty-four".