312142134201040 has 320 divisors, whose sum is σ = 855374039557632. Its totient is φ = 104435122176000.

The previous prime is 312142134200947. The next prime is 312142134201043. The reversal of 312142134201040 is 40102431241213.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312142134201043) 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, 10689418440 + ... + 10689447640.

Almost surely, 2^{312142134201040} 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 312142134201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427687019778816).

312142134201040 is an abundant number, since it is smaller than the sum of its proper divisors (543231905356592).

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

312142134201040 is a wasteful number, since it uses less digits than its factorization.

312142134201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32238 (or 32232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 312142134201040 its reverse (40102431241213), we get a palindrome (352244565442253).

The spelling of 312142134201040 in words is "three hundred twelve trillion, one hundred forty-two billion, one hundred thirty-four million, two hundred one thousand, forty".