4052166728064 has 512 divisors, whose sum is σ = 14394605568000. Its totient is φ = 979790929920.

The previous prime is 4052166728021. The next prime is 4052166728101. The reversal of 4052166728064 is 4608276612504.

It is a junction number, because it is equal to n+sod(n) for n = 4052166727998 and 4052166728016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20483577 + ... + 20680455.

It is an arithmetic number, because the mean of its divisors is an integer number (28114464000).

Almost surely, 2^{4052166728064} 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 4052166728064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197302784000).

4052166728064 is an abundant number, since it is smaller than the sum of its proper divisors (10342438839936).

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

4052166728064 is a wasteful number, since it uses less digits than its factorization.

4052166728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196966 (or 196954 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 51.

The spelling of 4052166728064 in words is "four trillion, fifty-two billion, one hundred sixty-six million, seven hundred twenty-eight thousand, sixty-four".