311432340434004 has 144 divisors (see below), whose sum is σ = 835692425830080. Its totient is φ = 97514714211840.

The previous prime is 311432340433979. The next prime is 311432340434011. The reversal of 311432340434004 is 400434043234113.

311432340434004 is a `hidden beast` number, since 3 + 1 + 14 + 3 + 234 + 0 + 4 + 3 + 400 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 311432340434004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77984839 + ... + 81881009.

It is an arithmetic number, because the mean of its divisors is an integer number (5803419623820).

Almost surely, 2^{311432340434004} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311432340434004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417846212915040).

311432340434004 is an abundant number, since it is smaller than the sum of its proper divisors (524260085396076).

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

311432340434004 is a wasteful number, since it uses less digits than its factorization.

311432340434004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897190 (or 3897185 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 311432340434004 its reverse (400434043234113), we get a palindrome (711866383668117).

The spelling of 311432340434004 in words is "three hundred eleven trillion, four hundred thirty-two billion, three hundred forty million, four hundred thirty-four thousand, four".