311000040 has 256 divisors, whose sum is σ = 1182988800. Its totient is φ = 71995392.

The previous prime is 310999993. The next prime is 311000077. The reversal of 311000040 is 40000113.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 310999986 and 311000031.

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, 238029 + ... + 239331.

It is an arithmetic number, because the mean of its divisors is an integer number (4621050).

Almost surely, 2^311000040 is an apocalyptic number.

311000040 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 311000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591494400).

311000040 is an abundant number, since it is smaller than the sum of its proper divisors (871988760).

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

311000040 is a wasteful number, since it uses less digits than its factorization.

311000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1343 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 311000040 is about 17635.1932226443. The cubic root of 311000040 is about 677.5169242741.

Adding to 311000040 its reverse (40000113), we get a palindrome (351000153).

The spelling of 311000040 in words is "three hundred eleven million, forty", and thus it is an aban number.