311131842840 has 384 divisors, whose sum is σ = 1246984502400. Its totient is φ = 65515806720.

The previous prime is 311131842811. The next prime is 311131842841. The reversal of 311131842840 is 48248131113.

311131842840 is a `hidden beast` number, since 311 + 1 + 318 + 4 + 28 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311131842795 and 311131842804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311131842841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17058846 + ... + 17077074.

It is an arithmetic number, because the mean of its divisors is an integer number (3247355475).

Almost surely, 2^311131842840 is an apocalyptic number.

311131842840 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 311131842840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623492251200).

311131842840 is an abundant number, since it is smaller than the sum of its proper divisors (935852659560).

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

311131842840 is a wasteful number, since it uses less digits than its factorization.

311131842840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18787 (or 18780 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Adding to 311131842840 its reverse (48248131113), we get a palindrome (359379973953).

The spelling of 311131842840 in words is "three hundred eleven billion, one hundred thirty-one million, eight hundred forty-two thousand, eight hundred forty".