311430000341040 has 80 divisors (see below), whose sum is σ = 1103352001214208. Its totient is φ = 71184000077568.

The previous prime is 311430000341021. The next prime is 311430000341041. The reversal of 311430000341040 is 40143000034113.

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

It is a super-2 number, since 2×311430000341040² (a number of 30 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 311430000341040.

It is not an unprimeable number, because it can be changed into a prime (311430000341041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92687498422 + ... + 92687501781.

Almost surely, 2^{311430000341040} is an apocalyptic number.

311430000341040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311430000341040 is an abundant number, since it is smaller than the sum of its proper divisors (791922000873168).

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

311430000341040 is a wasteful number, since it uses less digits than its factorization.

311430000341040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185375000226 (or 185375000220 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 311430000341040 its reverse (40143000034113), we get a palindrome (351573000375153).

The spelling of 311430000341040 in words is "three hundred eleven trillion, four hundred thirty billion, three hundred forty-one thousand, forty".