4065123284352 has 768 divisors, whose sum is σ = 13406178240000. Its totient is φ = 1172873281536.

The previous prime is 4065123284293. The next prime is 4065123284399. The reversal of 4065123284352 is 2534823215604.

4065123284352 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 12 + 3 + 284 + 352 = 666.

4065123284352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4065123284298 and 4065123284307.

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, 8146539399 + ... + 8146539897.

It is an arithmetic number, because the mean of its divisors is an integer number (17455961250).

Almost surely, 2^{4065123284352} 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 4065123284352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703089120000).

4065123284352 is an abundant number, since it is smaller than the sum of its proper divisors (9341054955648).

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

4065123284352 is a wasteful number, since it uses less digits than its factorization.

4065123284352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

Adding to 4065123284352 its reverse (2534823215604), we get a palindrome (6599946499956).

The spelling of 4065123284352 in words is "four trillion, sixty-five billion, one hundred twenty-three million, two hundred eighty-four thousand, three hundred fifty-two".