4161012500736 has 729 divisors, whose sum is σ = 15144499269081. Its totient is φ = 1095059976192.

The previous prime is 4161012500713. The next prime is 4161012500753. The reversal of 4161012500736 is 6370052101614.

The square root of 4161012500736 is 2039856.

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

4161012500736 is a `hidden beast` number, since 4 + 1 + 610 + 1 + 2 + 5 + 0 + 0 + 7 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 615534393600 + 3545478107136 = 784560^2 + 1882944^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 4161012500736.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 8910090775 + ... + 8910091241.

Almost surely, 2^{4161012500736} is an apocalyptic number.

4161012500736 is the 2039856-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4161012500736

4161012500736 is an abundant number, since it is smaller than the sum of its proper divisors (10983486768345).

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

4161012500736 is an equidigital number, since it uses as much as digits as its factorization.

4161012500736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 996 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 4161012500736 by its sum of digits (36), we get a square (149796450026496 = 12239136²).

4161012500736 divided by its sum of digits (36) gives a square (115583680576 = 339976²).

The spelling of 4161012500736 in words is "four trillion, one hundred sixty-one billion, twelve million, five hundred thousand, seven hundred thirty-six".