333041144020 has 144 divisors (see below), whose sum is σ = 814516310160. Its totient is φ = 113565247488.

The previous prime is 333041144017. The next prime is 333041144039. The reversal of 333041144020 is 20441140333.

It can be written as a sum of positive squares in 8 ways, for example, as 30010711696 + 303030432324 = 173236^2 + 550482^2 .

It is a super-2 number, since 2×333041144020² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3946912 + ... + 4030408.

It is an arithmetic number, because the mean of its divisors is an integer number (5656363265).

Almost surely, 2^333041144020 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 333041144020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407258155080).

333041144020 is an abundant number, since it is smaller than the sum of its proper divisors (481475166140).

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

333041144020 is a wasteful number, since it uses less digits than its factorization.

333041144020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83594 (or 83569 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 333041144020 its reverse (20441140333), we get a palindrome (353482284353).

The spelling of 333041144020 in words is "three hundred thirty-three billion, forty-one million, one hundred forty-four thousand, twenty".