311305505040 has 100 divisors (see below), whose sum is σ = 1081210160844. Its totient is φ = 83014799616.

The previous prime is 311305505033. The next prime is 311305505051. The reversal of 311305505040 is 40505503113.

311305505040 is a `hidden beast` number, since 3 + 113 + 0 + 5 + 505 + 0 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 64817086464 + 246488418576 = 254592^2 + 496476^2 .

It is a super-2 number, since 2×311305505040² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 311305504995 and 311305505013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 24014007 + ... + 24026966.

Almost surely, 2^311305505040 is an apocalyptic number.

311305505040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311305505040 is an abundant number, since it is smaller than the sum of its proper divisors (769904655804).

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

311305505040 is a wasteful number, since it uses less digits than its factorization.

311305505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48040998 (or 48040983 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 311305505040 in words is "three hundred eleven billion, three hundred five million, five hundred five thousand, forty".