311385424000 has 256 divisors, whose sum is σ = 893572093440. Its totient is φ = 105699840000.

The previous prime is 311385423983. The next prime is 311385424003. The reversal of 311385424000 is 424583113.

It is not an unprimeable number, because it can be changed into a prime (311385424003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11298237 + ... + 11325763.

It is an arithmetic number, because the mean of its divisors is an integer number (3490515990).

Almost surely, 2^311385424000 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 311385424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446786046720).

311385424000 is an abundant number, since it is smaller than the sum of its proper divisors (582186669440).

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

311385424000 is a wasteful number, since it uses less digits than its factorization.

311385424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27664 (or 27642 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The spelling of 311385424000 in words is "three hundred eleven billion, three hundred eighty-five million, four hundred twenty-four thousand".