312333432323440 has 80 divisors (see below), whose sum is σ = 794690186617440. Its totient is φ = 113217510210560.

The previous prime is 312333432323411. The next prime is 312333432323441. The reversal of 312333432323440 is 44323234333213.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 312333432323393 and 312333432323402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312333432323441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559538635 + ... + 560096554.

It is an arithmetic number, because the mean of its divisors is an integer number (9933627332718).

Almost surely, 2^{312333432323440} is an apocalyptic number.

It is an amenable number.

312333432323440 is an abundant number, since it is smaller than the sum of its proper divisors (482356754294000).

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

312333432323440 is a wasteful number, since it uses less digits than its factorization.

312333432323440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119635530 (or 1119635524 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 40.

Adding to 312333432323440 its reverse (44323234333213), we get a palindrome (356656666656653).

The spelling of 312333432323440 in words is "three hundred twelve trillion, three hundred thirty-three billion, four hundred thirty-two million, three hundred twenty-three thousand, four hundred forty".