311241403424 has 144 divisors (see below), whose sum is σ = 756231275520. Its totient is φ = 125372136960.

The previous prime is 311241403411. The next prime is 311241403453. The reversal of 311241403424 is 424304142113.

It is a super-2 number, since 2×311241403424² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3742454 + ... + 3824714.

It is an arithmetic number, because the mean of its divisors is an integer number (5251606080).

Almost surely, 2^311241403424 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 311241403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378115637760).

311241403424 is an abundant number, since it is smaller than the sum of its proper divisors (444989872096).

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

311241403424 is a wasteful number, since it uses less digits than its factorization.

311241403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82431 (or 82416 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 311241403424 its reverse (424304142113), we get a palindrome (735545545537).

The spelling of 311241403424 in words is "three hundred eleven billion, two hundred forty-one million, four hundred three thousand, four hundred twenty-four".