311020005344000 has 1152 divisors, whose sum is σ = 871669527386112. Its totient is φ = 109964899123200.

The previous prime is 311020005343967. The next prime is 311020005344093. The reversal of 311020005344000 is 443500020113.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 483701407679 + ... + 483701408321.

It is an arithmetic number, because the mean of its divisors is an integer number (756657575856).

Almost surely, 2^{311020005344000} 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 311020005344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (435834763693056).

311020005344000 is an abundant number, since it is smaller than the sum of its proper divisors (560649522042112).

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

311020005344000 is a wasteful number, since it uses less digits than its factorization.

311020005344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 311020005344000 its reverse (443500020113), we get a palindrome (311463505364113).

The spelling of 311020005344000 in words is "three hundred eleven trillion, twenty billion, five million, three hundred forty-four thousand".