311243139280840 has 192 divisors, whose sum is σ = 778960626984000. Its totient is φ = 111792196279296.

The previous prime is 311243139280837. The next prime is 311243139280903. The reversal of 311243139280840 is 48082931342113.

It is a super-2 number, since 2×311243139280840² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1275239859 + ... + 1275483901.

It is an arithmetic number, because the mean of its divisors is an integer number (4057086598875).

Almost surely, 2^{311243139280840} 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 311243139280840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389480313492000).

311243139280840 is an abundant number, since it is smaller than the sum of its proper divisors (467717487703160).

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

311243139280840 is a wasteful number, since it uses less digits than its factorization.

311243139280840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249216 (or 249199 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 311243139280840 in words is "three hundred eleven trillion, two hundred forty-three billion, one hundred thirty-nine million, two hundred eighty thousand, eight hundred forty".