30568285440 has 1080 divisors, whose sum is σ = 139057424352. Its totient is φ = 6340239360.

The previous prime is 30568285421. The next prime is 30568285453. The reversal of 30568285440 is 4458286503.

30568285440 is a `hidden beast` number, since 3 + 0 + 56 + 82 + 85 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 55883247 + ... + 55883793.

Almost surely, 2^30568285440 is an apocalyptic number.

30568285440 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 30568285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69528712176).

30568285440 is an abundant number, since it is smaller than the sum of its proper divisors (108489138912).

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

30568285440 is a wasteful number, since it uses less digits than its factorization.

30568285440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 30568285440 in words is "thirty billion, five hundred sixty-eight million, two hundred eighty-five thousand, four hundred forty".