311064433460340 has 96 divisors (see below), whose sum is σ = 997385126492160. Its totient is φ = 70959089118336.

The previous prime is 311064433460327. The next prime is 311064433460381. The reversal of 311064433460340 is 43064334460113.

It is a super-2 number, since 2×311064433460340² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 311064433460292 and 311064433460301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 736001070 + ... + 736423589.

It is an arithmetic number, because the mean of its divisors is an integer number (10389428400960).

Almost surely, 2^{311064433460340} is an apocalyptic number.

311064433460340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311064433460340 is an abundant number, since it is smaller than the sum of its proper divisors (686320693031820).

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

311064433460340 is a wasteful number, since it uses less digits than its factorization.

311064433460340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472425181 (or 1472425179 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 42.

The spelling of 311064433460340 in words is "three hundred eleven trillion, sixty-four billion, four hundred thirty-three million, four hundred sixty thousand, three hundred forty".