311440320200020 has 192 divisors, whose sum is σ = 729547894285056. Its totient is φ = 110728272568320.

The previous prime is 311440320199999. The next prime is 311440320200021. The reversal of 311440320200020 is 20002023044113.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 311440320199964 and 311440320200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311440320200021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1512058882 + ... + 1512264838.

It is an arithmetic number, because the mean of its divisors is an integer number (3799728616068).

Almost surely, 2^{311440320200020} 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 311440320200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364773947142528).

311440320200020 is an abundant number, since it is smaller than the sum of its proper divisors (418107574085036).

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

311440320200020 is a wasteful number, since it uses less digits than its factorization.

311440320200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206810 (or 206808 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 311440320200020 its reverse (20002023044113), we get a palindrome (331442343244133).

The spelling of 311440320200020 in words is "three hundred eleven trillion, four hundred forty billion, three hundred twenty million, two hundred thousand, twenty".