312334001434040 has 128 divisors (see below), whose sum is σ = 739251831121920. Its totient is φ = 118599217651200.

The previous prime is 312334001434031. The next prime is 312334001434051. The reversal of 312334001434040 is 40434100433213.

It is a junction number, because it is equal to n+sod(n) for n = 312334001433988 and 312334001434006.

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, 339378587 + ... + 340297653.

It is an arithmetic number, because the mean of its divisors is an integer number (5775404930640).

Almost surely, 2^{312334001434040} 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 312334001434040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369625915560960).

312334001434040 is an abundant number, since it is smaller than the sum of its proper divisors (426917829687880).

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

312334001434040 is a wasteful number, since it uses less digits than its factorization.

312334001434040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924333 (or 924329 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 312334001434040 its reverse (40434100433213), we get a palindrome (352768101867253).

The spelling of 312334001434040 in words is "three hundred twelve trillion, three hundred thirty-four billion, one million, four hundred thirty-four thousand, forty".