36241135120 has 80 divisors (see below), whose sum is σ = 85268136240. Its totient is φ = 14323712000.

The previous prime is 36241135057. The next prime is 36241135153. The reversal of 36241135120 is 2153114263.

It can be written as a sum of positive squares in 8 ways, for example, as 25522704 + 36215612416 = 5052^2 + 190304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4205376 + ... + 4213984.

It is an arithmetic number, because the mean of its divisors is an integer number (1065851703).

Almost surely, 2^36241135120 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 36241135120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42634068120).

36241135120 is an abundant number, since it is smaller than the sum of its proper divisors (49027001120).

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

36241135120 is a wasteful number, since it uses less digits than its factorization.

36241135120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9244 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 36241135120 its reverse (2153114263), we get a palindrome (38394249383).

The spelling of 36241135120 in words is "thirty-six billion, two hundred forty-one million, one hundred thirty-five thousand, one hundred twenty".