4005568240128 has 1280 divisors, whose sum is σ = 15562793917440. Its totient is φ = 987110572032.

The previous prime is 4005568240109. The next prime is 4005568240189. The reversal of 4005568240128 is 8210428655004.

4005568240128 is a `hidden beast` number, since 4 + 0 + 0 + 556 + 82 + 4 + 0 + 12 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3357558700 + ... + 3357559892.

It is an arithmetic number, because the mean of its divisors is an integer number (12158432748).

Almost surely, 2^{4005568240128} is an apocalyptic number.

4005568240128 is a gapful number since it is divisible by the number (48) 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 4005568240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7781396958720).

4005568240128 is an abundant number, since it is smaller than the sum of its proper divisors (11557225677312).

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

4005568240128 is a wasteful number, since it uses less digits than its factorization.

4005568240128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 4005568240128 in words is "four trillion, five billion, five hundred sixty-eight million, two hundred forty thousand, one hundred twenty-eight".