30161428704000 has 3456 divisors, whose sum is σ = 131206158720000. Its totient is φ = 6763917312000.

The previous prime is 30161428703969. The next prime is 30161428704067. The reversal of 30161428704000 is 40782416103.

30161428704000 is a `hidden beast` number, since 3 + 0 + 161 + 4 + 28 + 70 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 202425695926 + ... + 202425696074.

It is an arithmetic number, because the mean of its divisors is an integer number (37964745000).

Almost surely, 2^{30161428704000} is an apocalyptic number.

30161428704000 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 30161428704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65603079360000).

30161428704000 is an abundant number, since it is smaller than the sum of its proper divisors (101044730016000).

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

30161428704000 is a wasteful number, since it uses less digits than its factorization.

30161428704000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 30161428704000 in words is "thirty trillion, one hundred sixty-one billion, four hundred twenty-eight million, seven hundred four thousand".