312023420440340 has 96 divisors (see below), whose sum is σ = 759446694720000. Its totient is φ = 105466703408640.

The previous prime is 312023420440301. The next prime is 312023420440357. The reversal of 312023420440340 is 43044024320213.

It is a super-2 number, since 2×312023420440340² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312023420440297 and 312023420440306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 175540766 + ... + 177309354.

It is an arithmetic number, because the mean of its divisors is an integer number (7910903070000).

Almost surely, 2^{312023420440340} 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 312023420440340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379723347360000).

312023420440340 is an abundant number, since it is smaller than the sum of its proper divisors (447423274279660).

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

312023420440340 is a wasteful number, since it uses less digits than its factorization.

312023420440340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786425 (or 1786423 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 312023420440340 its reverse (43044024320213), we get a palindrome (355067444760553).

The spelling of 312023420440340 in words is "three hundred twelve trillion, twenty-three billion, four hundred twenty million, four hundred forty thousand, three hundred forty".