30057363241344 has 192 divisors, whose sum is σ = 89293215098880. Its totient is φ = 9694846540800.

The previous prime is 30057363241333. The next prime is 30057363241363. The reversal of 30057363241344 is 44314236375003.

30057363241344 is a `hidden beast` number, since 3 + 0 + 0 + 5 + 7 + 3 + 63 + 241 + 344 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 30057363241344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 360328089 + ... + 360411495.

It is an arithmetic number, because the mean of its divisors is an integer number (465068828640).

Almost surely, 2^{30057363241344} 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 30057363241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44646607549440).

30057363241344 is an abundant number, since it is smaller than the sum of its proper divisors (59235851857536).

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

30057363241344 is a wasteful number, since it uses less digits than its factorization.

30057363241344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93549 (or 93534 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 45.

The spelling of 30057363241344 in words is "thirty trillion, fifty-seven billion, three hundred sixty-three million, two hundred forty-one thousand, three hundred forty-four".