311314201130040 has 256 divisors, whose sum is σ = 1014217210368000. Its totient is φ = 76254105661440.

The previous prime is 311314201130029. The next prime is 311314201130057. The reversal of 311314201130040 is 40031102413113.

It is a happy number.

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

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, 18090549 + ... + 30820388.

It is an arithmetic number, because the mean of its divisors is an integer number (3961785978000).

Almost surely, 2^{311314201130040} is an apocalyptic number.

311314201130040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311314201130040 is an abundant number, since it is smaller than the sum of its proper divisors (702903009237960).

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

311314201130040 is a wasteful number, since it uses less digits than its factorization.

311314201130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48911070 (or 48911066 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 311314201130040 its reverse (40031102413113), we get a palindrome (351345303543153).

The spelling of 311314201130040 in words is "three hundred eleven trillion, three hundred fourteen billion, two hundred one million, one hundred thirty thousand, forty".