83301042240 has 336 divisors, whose sum is σ = 316905698928. Its totient is φ = 19950354432.

The previous prime is 83301042211. The next prime is 83301042241. The reversal of 83301042240 is 4224010338.

83301042240 is a `hidden beast` number, since 8 + 330 + 104 + 224 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 467597376 + 82833444864 = 21624^2 + 287808^2 .

It is not an unprimeable number, because it can be changed into a prime (83301042241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1355214 + ... + 1415346.

It is an arithmetic number, because the mean of its divisors is an integer number (943171723).

Almost surely, 2^83301042240 is an apocalyptic number.

83301042240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83301042240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158452849464).

83301042240 is an abundant number, since it is smaller than the sum of its proper divisors (233604656688).

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

83301042240 is a wasteful number, since it uses less digits than its factorization.

83301042240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60206 (or 60193 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 83301042240 its reverse (4224010338), we get a palindrome (87525052578).

The spelling of 83301042240 in words is "eighty-three billion, three hundred one million, forty-two thousand, two hundred forty".