311011323440 has 80 divisors (see below), whose sum is σ = 729272180736. Its totient is φ = 123344582400.

The previous prime is 311011323439. The next prime is 311011323443. The reversal of 311011323440 is 44323110113.

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

It is not an unprimeable number, because it can be changed into a prime (311011323443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12259409 + ... + 12284751.

Almost surely, 2^311011323440 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 311011323440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364636090368).

311011323440 is an abundant number, since it is smaller than the sum of its proper divisors (418260857296).

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

311011323440 is a wasteful number, since it uses less digits than its factorization.

311011323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26658 (or 26652 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 311011323440 its reverse (44323110113), we get a palindrome (355334433553).

The spelling of 311011323440 in words is "three hundred eleven billion, eleven million, three hundred twenty-three thousand, four hundred forty".