4065056484552 has 256 divisors, whose sum is σ = 13019804467200. Its totient is φ = 1151125758720.

The previous prime is 4065056484539. The next prime is 4065056484553. The reversal of 4065056484552 is 2554846505604.

4065056484552 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 0 + 5 + 6 + 4 + 84 + 552 = 666.

It is a super-2 number, since 2×4065056484552² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4065056484553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 197966478 + ... + 197987010.

It is an arithmetic number, because the mean of its divisors is an integer number (50858611200).

Almost surely, 2^{4065056484552} is an apocalyptic number.

4065056484552 is a gapful number since it is divisible by the number (42) 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 4065056484552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509902233600).

4065056484552 is an abundant number, since it is smaller than the sum of its proper divisors (8954747982648).

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

4065056484552 is a wasteful number, since it uses less digits than its factorization.

4065056484552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21713 (or 21703 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 54.

The spelling of 4065056484552 in words is "four trillion, sixty-five billion, fifty-six million, four hundred eighty-four thousand, five hundred fifty-two".