4020330220240 has 160 divisors (see below), whose sum is σ = 10173154188960. Its totient is φ = 1473866956800.

The previous prime is 4020330220237. The next prime is 4020330220241. The reversal of 4020330220240 is 420220330204.

It can be written as a sum of positive squares in 16 ways, for example, as 2359922729616 + 1660407490624 = 1536204^2 + 1288568^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4020330220241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2948280 + ... + 4090600.

It is an arithmetic number, because the mean of its divisors is an integer number (63582213681).

Almost surely, 2^{4020330220240} is an apocalyptic number.

4020330220240 is a gapful number since it is divisible by the number (40) 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 4020330220240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5086577094480).

4020330220240 is an abundant number, since it is smaller than the sum of its proper divisors (6152823968720).

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

4020330220240 is a wasteful number, since it uses less digits than its factorization.

4020330220240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1142441 (or 1142435 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 4020330220240 its reverse (420220330204), we get a palindrome (4440550550444).

The spelling of 4020330220240 in words is "four trillion, twenty billion, three hundred thirty million, two hundred twenty thousand, two hundred forty".