4052517520128 has 1152 divisors, whose sum is σ = 14250647126016. Its totient is φ = 992010240000.

The previous prime is 4052517520099. The next prime is 4052517520187. The reversal of 4052517520128 is 8210257152504.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 4052517520128.

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, 16145488003 + ... + 16145488253.

It is an arithmetic number, because the mean of its divisors is an integer number (12370353408).

Almost surely, 2^{4052517520128} is an apocalyptic number.

4052517520128 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 4052517520128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125323563008).

4052517520128 is an abundant number, since it is smaller than the sum of its proper divisors (10198129605888).

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

4052517520128 is a wasteful number, since it uses less digits than its factorization.

4052517520128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 42.

The spelling of 4052517520128 in words is "four trillion, fifty-two billion, five hundred seventeen million, five hundred twenty thousand, one hundred twenty-eight".