30666086430480 has 240 divisors, whose sum is σ = 104411522185776. Its totient is φ = 8064534528000.

The previous prime is 30666086430437. The next prime is 30666086430481. The reversal of 30666086430480 is 8403468066603.

It can be written as a sum of positive squares in 8 ways, for example, as 715553577216 + 29950532853264 = 845904^2 + 5472708^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is not an unprimeable number, because it can be changed into a prime (30666086430481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446778244 + ... + 446846876.

Almost surely, 2^{30666086430480} is an apocalyptic number.

30666086430480 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 30666086430480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52205761092888).

30666086430480 is an abundant number, since it is smaller than the sum of its proper divisors (73745435755296).

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

30666086430480 is a wasteful number, since it uses less digits than its factorization.

30666086430480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77226 (or 77217 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 30666086430480 in words is "thirty trillion, six hundred sixty-six billion, eighty-six million, four hundred thirty thousand, four hundred eighty".