4065521886720 has 960 divisors, whose sum is σ = 16446398791680. Its totient is φ = 908981305344.

The previous prime is 4065521886637. The next prime is 4065521886799. The reversal of 4065521886720 is 276881255604.

4065521886720 is a `hidden beast` number, since 4 + 0 + 6 + 552 + 1 + 8 + 8 + 67 + 20 = 666.

4065521886720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×4065521886720² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1495225521 + ... + 1495228239.

It is an arithmetic number, because the mean of its divisors is an integer number (17131665408).

Almost surely, 2^{4065521886720} is an apocalyptic number.

4065521886720 is a gapful number since it is divisible by the number (40) 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 4065521886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8223199395840).

4065521886720 is an abundant number, since it is smaller than the sum of its proper divisors (12380876904960).

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

4065521886720 is a wasteful number, since it uses less digits than its factorization.

4065521886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2955 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 4065521886720 in words is "four trillion, sixty-five billion, five hundred twenty-one million, eight hundred eighty-six thousand, seven hundred twenty".