311435440140 has 96 divisors (see below), whose sum is σ = 969242754816. Its totient is φ = 74074973440.

The previous prime is 311435440097. The next prime is 311435440181. The reversal of 311435440140 is 41044534113.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 311435440098 and 311435440107.

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, 4416642 + ... + 4486601.

It is an arithmetic number, because the mean of its divisors is an integer number (10096278696).

Almost surely, 2^311435440140 is an apocalyptic number.

311435440140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311435440140 is an abundant number, since it is smaller than the sum of its proper divisors (657807314676).

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

311435440140 is a wasteful number, since it uses less digits than its factorization.

311435440140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903319 (or 8903317 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 311435440140 its reverse (41044534113), we get a palindrome (352479974253).

The spelling of 311435440140 in words is "three hundred eleven billion, four hundred thirty-five million, four hundred forty thousand, one hundred forty".