311296940640 has 192 divisors, whose sum is σ = 1245187883520. Its totient is φ = 71153579520.

The previous prime is 311296940609. The next prime is 311296940641. The reversal of 311296940640 is 46049692113.

311296940640 is a `hidden beast` number, since 3 + 112 + 96 + 9 + 406 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311296940641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5116866 + ... + 5177345.

It is an arithmetic number, because the mean of its divisors is an integer number (6485353560).

Almost surely, 2^311296940640 is an apocalyptic number.

311296940640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311296940640 is an abundant number, since it is smaller than the sum of its proper divisors (933890942880).

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

311296940640 is a wasteful number, since it uses less digits than its factorization.

311296940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10294242 (or 10294228 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 311296940640 in words is "three hundred eleven billion, two hundred ninety-six million, nine hundred forty thousand, six hundred forty".