4052193754752 has 768 divisors, whose sum is σ = 14537625822720. Its totient is φ = 1107068497920.

The previous prime is 4052193754669. The next prime is 4052193754769. The reversal of 4052193754752 is 2574573912504.

4052193754752 is a `hidden beast` number, since 4 + 0 + 5 + 2 + 1 + 93 + 7 + 547 + 5 + 2 = 666.

It is a super-2 number, since 2×4052193754752² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 191247903 + ... + 191269089.

It is an arithmetic number, because the mean of its divisors is an integer number (18929200290).

Almost surely, 2^{4052193754752} 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 4052193754752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7268812911360).

4052193754752 is an abundant number, since it is smaller than the sum of its proper divisors (10485432067968).

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

4052193754752 is a wasteful number, since it uses less digits than its factorization.

4052193754752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21283 (or 21259 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 4052193754752 in words is "four trillion, fifty-two billion, one hundred ninety-three million, seven hundred fifty-four thousand, seven hundred fifty-two".