4052516832000 has 4032 divisors, whose sum is σ = 19673163933696. Its totient is φ = 808007270400.

The previous prime is 4052516831983. The next prime is 4052516832019. The reversal of 4052516832000 is 2386152504.

4052516832000 is a `hidden beast` number, since 40 + 5 + 2 + 516 + 83 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 447 ways as a sum of consecutive naturals, for example, 48825503959 + ... + 48825504041.

It is an arithmetic number, because the mean of its divisors is an integer number (4879256928).

Almost surely, 2^{4052516832000} is an apocalyptic number.

4052516832000 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 4052516832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9836581966848).

4052516832000 is an abundant number, since it is smaller than the sum of its proper divisors (15620647101696).

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

4052516832000 is an equidigital number, since it uses as much as digits as its factorization.

4052516832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 4052516832000 in words is "four trillion, fifty-two billion, five hundred sixteen million, eight hundred thirty-two thousand".