310808381040 has 80 divisors (see below), whose sum is σ = 1070562208800. Its totient is φ = 82882234368.

The previous prime is 310808380973. The next prime is 310808381041. The reversal of 310808381040 is 40183808013.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 310808380986 and 310808381004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310808381041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71944225 + ... + 71948544.

It is an arithmetic number, because the mean of its divisors is an integer number (13382027610).

Almost surely, 2^310808381040 is an apocalyptic number.

310808381040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

310808381040 is an abundant number, since it is smaller than the sum of its proper divisors (759753827760).

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

310808381040 is a wasteful number, since it uses less digits than its factorization.

310808381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143892791 (or 143892779 counting only the distinct ones).

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

The spelling of 310808381040 in words is "three hundred ten billion, eight hundred eight million, three hundred eighty-one thousand, forty".