311277457920 has 1280 divisors, whose sum is σ = 1241776521216. Its totient is φ = 65470464000.

The previous prime is 311277457877. The next prime is 311277457927. The reversal of 311277457920 is 29754772113.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 311277457920.

It is not an unprimeable number, because it can be changed into a prime (311277457927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1395862929 + ... + 1395863151.

Almost surely, 2^311277457920 is an apocalyptic number.

311277457920 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 311277457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620888260608).

311277457920 is an abundant number, since it is smaller than the sum of its proper divisors (930499063296).

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

311277457920 is a wasteful number, since it uses less digits than its factorization.

311277457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 48.

The spelling of 311277457920 in words is "three hundred eleven billion, two hundred seventy-seven million, four hundred fifty-seven thousand, nine hundred twenty".