311410244020020 has 192 divisors, whose sum is σ = 900732258666240. Its totient is φ = 80338789343232.

The previous prime is 311410244020019. The next prime is 311410244020079. The reversal of 311410244020020 is 20020442014113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 796500822 + ... + 796891698.

It is an arithmetic number, because the mean of its divisors is an integer number (4691313847220).

Almost surely, 2^{311410244020020} is an apocalyptic number.

311410244020020 is a gapful number since it is divisible by the number (30) 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 311410244020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450366129333120).

311410244020020 is an abundant number, since it is smaller than the sum of its proper divisors (589322014646220).

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

311410244020020 is a wasteful number, since it uses less digits than its factorization.

311410244020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 393874 (or 393872 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 311410244020020 its reverse (20020442014113), we get a palindrome (331430686034133).

The spelling of 311410244020020 in words is "three hundred eleven trillion, four hundred ten billion, two hundred forty-four million, twenty thousand, twenty".