311414402241140 has 192 divisors, whose sum is σ = 746373635868672. Its totient is φ = 108037120012800.

The previous prime is 311414402241139. The next prime is 311414402241193. The reversal of 311414402241140 is 41142204414113.

It is a junction number, because it is equal to n+sod(n) for n = 311414402241097 and 311414402241106.

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, 3159176894 + ... + 3159275466.

It is an arithmetic number, because the mean of its divisors is an integer number (3887362686816).

Almost surely, 2^{311414402241140} 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 311414402241140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373186817934336).

311414402241140 is an abundant number, since it is smaller than the sum of its proper divisors (434959233627532).

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

311414402241140 is a wasteful number, since it uses less digits than its factorization.

311414402241140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100230 (or 100228 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

Adding to 311414402241140 its reverse (41142204414113), we get a palindrome (352556606655253).

The spelling of 311414402241140 in words is "three hundred eleven trillion, four hundred fourteen billion, four hundred two million, two hundred forty-one thousand, one hundred forty".