311441100401420 has 96 divisors (see below), whose sum is σ = 719085517387776. Its totient is φ = 112362967385600.

The previous prime is 311441100401407. The next prime is 311441100401447. The reversal of 311441100401420 is 24104001144113.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 311441100401420.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52111115 + ... + 57779325.

It is an arithmetic number, because the mean of its divisors is an integer number (7490474139456).

Almost surely, 2^{311441100401420} 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 311441100401420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359542758693888).

311441100401420 is an abundant number, since it is smaller than the sum of its proper divisors (407644416986356).

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

311441100401420 is a wasteful number, since it uses less digits than its factorization.

311441100401420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5670191 (or 5670189 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 311441100401420 its reverse (24104001144113), we get a palindrome (335545101545533).

The spelling of 311441100401420 in words is "three hundred eleven trillion, four hundred forty-one billion, one hundred million, four hundred one thousand, four hundred twenty".