311326454340 has 192 divisors, whose sum is σ = 1112235264000. Its totient is φ = 71500786560.

The previous prime is 311326454339. The next prime is 311326454347. The reversal of 311326454340 is 43454623113.

311326454340 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 2 + 645 + 4 + 3 + 4 + 0 = 666.

It is a super-2 number, since 2×311326454340² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 311326454295 and 311326454304.

It is not an unprimeable number, because it can be changed into a prime (311326454347) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1266400 + ... + 1492119.

It is an arithmetic number, because the mean of its divisors is an integer number (5792892000).

Almost surely, 2^311326454340 is an apocalyptic number.

311326454340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

311326454340 is an abundant number, since it is smaller than the sum of its proper divisors (800908809660).

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

311326454340 is a wasteful number, since it uses less digits than its factorization.

311326454340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2758567 (or 2758559 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 311326454340 in words is "three hundred eleven billion, three hundred twenty-six million, four hundred fifty-four thousand, three hundred forty".