4005730050624 has 189 divisors, whose sum is σ = 11624565486027. Its totient is φ = 1318831607808.

The previous prime is 4005730050611. The next prime is 4005730050629. The reversal of 4005730050624 is 4260500375004.

The square root of 4005730050624 is 2001432.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2401880040000 + 1603850010624 = 1549800^2 + 1266432^2 .

It is a super-3 number, since 3×4005730050624³ (a number of 39 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4005730050629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4275058284 + ... + 4275059220.

Almost surely, 2^{4005730050624} is an apocalyptic number.

4005730050624 is the 2001432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4005730050624

4005730050624 is an abundant number, since it is smaller than the sum of its proper divisors (7618835435403).

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

4005730050624 is an frugal number, since it uses more digits than its factorization.

4005730050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Multiplying 4005730050624 by its sum of digits (36), we get a square (144206281822464 = 12008592²).

4005730050624 divided by its sum of digits (36) gives a square (111270279184 = 333572²).

The spelling of 4005730050624 in words is "four trillion, five billion, seven hundred thirty million, fifty thousand, six hundred twenty-four".