311440041200020 has 12 divisors (see below), whose sum is σ = 654024086520084. Its totient is φ = 124576016480000.

The previous prime is 311440041200011. The next prime is 311440041200021. The reversal of 311440041200020 is 20002140044113.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 168237605774736 + 143202435425284 = 12970644^2 + 11966722^2 .

It is a junction number, because it is equal to n+sod(n) for n = 311440041199964 and 311440041200000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311440041200021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7786001029981 + ... + 7786001030020.

It is an arithmetic number, because the mean of its divisors is an integer number (54502007210007).

Almost surely, 2^{311440041200020} is an apocalyptic number.

It is an amenable number.

311440041200020 is an abundant number, since it is smaller than the sum of its proper divisors (342584045320064).

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

311440041200020 is a wasteful number, since it uses less digits than its factorization.

311440041200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15572002060010 (or 15572002060008 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 311440041200020 its reverse (20002140044113), we get a palindrome (331442181244133).

The spelling of 311440041200020 in words is "three hundred eleven trillion, four hundred forty billion, forty-one million, two hundred thousand, twenty".