311449440960 has 1344 divisors, whose sum is σ = 1389888000000. Its totient is φ = 65213890560.

The previous prime is 311449440947. The next prime is 311449440961. The reversal of 311449440960 is 69044944113.

311449440960 is a `hidden beast` number, since 3 + 1 + 144 + 9 + 440 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (311449440961) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 249358416 + ... + 249359664.

Almost surely, 2^311449440960 is an apocalyptic number.

311449440960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311449440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694944000000).

311449440960 is an abundant number, since it is smaller than the sum of its proper divisors (1078438559040).

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

311449440960 is a wasteful number, since it uses less digits than its factorization.

311449440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 311449440960 in words is "three hundred eleven billion, four hundred forty-nine million, four hundred forty thousand, nine hundred sixty".