311342202020400 has 240 divisors, whose sum is σ = 1021806864737568. Its totient is φ = 80987798528000.

The previous prime is 311342202020327. The next prime is 311342202020413. The reversal of 311342202020400 is 4020202243113.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339858970 + ... + 340773830.

Almost surely, 2^{311342202020400} is an apocalyptic number.

311342202020400 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 311342202020400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (510903432368784).

311342202020400 is an abundant number, since it is smaller than the sum of its proper divisors (710464662717168).

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

311342202020400 is a wasteful number, since it uses less digits than its factorization.

311342202020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921840 (or 921829 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 311342202020400 its reverse (4020202243113), we get a palindrome (315362404263513).

The spelling of 311342202020400 in words is "three hundred eleven trillion, three hundred forty-two billion, two hundred two million, twenty thousand, four hundred".