4120202320 has 80 divisors (see below), whose sum is σ = 10340119440. Its totient is φ = 1517801472.

The previous prime is 4120202309. The next prime is 4120202327. The reversal of 4120202320 is 232020214.

It can be written as a sum of positive squares in 8 ways, for example, as 32901696 + 4087300624 = 5736^2 + 63932^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4120202294 and 4120202303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120202327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 470946 + ... + 479614.

It is an arithmetic number, because the mean of its divisors is an integer number (129251493).

Almost surely, 2^4120202320 is an apocalyptic number.

4120202320 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 4120202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5170059720).

4120202320 is an abundant number, since it is smaller than the sum of its proper divisors (6219917120).

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

4120202320 is a wasteful number, since it uses less digits than its factorization.

4120202320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9152 (or 9146 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4120202320 is about 64188.8021386908. The cubic root of 4120202320 is about 1603.1451571904.

Adding to 4120202320 its reverse (232020214), we get a palindrome (4352222534).

The spelling of 4120202320 in words is "four billion, one hundred twenty million, two hundred two thousand, three hundred twenty".