30041440655616 has 288 divisors, whose sum is σ = 96882558528000. Its totient is φ = 9126511460352.

The previous prime is 30041440655557. The next prime is 30041440655657. The reversal of 30041440655616 is 61655604414003.

30041440655616 is a `hidden beast` number, since 3 + 0 + 0 + 41 + 4 + 40 + 6 + 5 + 561 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 4982620 + ... + 9214628.

Almost surely, 2^{30041440655616} is an apocalyptic number.

30041440655616 is a gapful number since it is divisible by the number (36) 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 30041440655616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48441279264000).

30041440655616 is an abundant number, since it is smaller than the sum of its proper divisors (66841117872384).

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

30041440655616 is a wasteful number, since it uses less digits than its factorization.

30041440655616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4232126 (or 4232106 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 30041440655616 in words is "thirty trillion, forty-one billion, four hundred forty million, six hundred fifty-five thousand, six hundred sixteen".