312224312440040 has 128 divisors (see below), whose sum is σ = 943223097841920. Its totient is φ = 89830771200000.

The previous prime is 312224312440031. The next prime is 312224312440067. The reversal of 312224312440040 is 40044213422213.

It is a happy number.

It is a super-3 number, since 3×312224312440040³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312224312439979 and 312224312440006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3898864961 + ... + 3898945040.

It is an arithmetic number, because the mean of its divisors is an integer number (7368930451890).

Almost surely, 2^{312224312440040} is an apocalyptic number.

It is an amenable number.

312224312440040 is an abundant number, since it is smaller than the sum of its proper divisors (630998785401880).

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

312224312440040 is a wasteful number, since it uses less digits than its factorization.

312224312440040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7797810043 (or 7797810039 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 312224312440040 its reverse (40044213422213), we get a palindrome (352268525862253).

The spelling of 312224312440040 in words is "three hundred twelve trillion, two hundred twenty-four billion, three hundred twelve million, four hundred forty thousand, forty".