312343033101440 has 128 divisors (see below), whose sum is σ = 814601934241920. Its totient is φ = 113575729029120.

The previous prime is 312343033101431. The next prime is 312343033101443. The reversal of 312343033101440 is 44101330343213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 312343033101397 and 312343033101406.

It is not an unprimeable number, because it can be changed into a prime (312343033101443) 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, 229621397 + ... + 230977643.

It is an arithmetic number, because the mean of its divisors is an integer number (6364077611265).

Almost surely, 2^{312343033101440} is an apocalyptic number.

It is an amenable number.

312343033101440 is an abundant number, since it is smaller than the sum of its proper divisors (502258901140480).

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

312343033101440 is a wasteful number, since it uses less digits than its factorization.

312343033101440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388990 (or 1388978 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 32.

Adding to 312343033101440 its reverse (44101330343213), we get a palindrome (356444363444653).

The spelling of 312343033101440 in words is "three hundred twelve trillion, three hundred forty-three billion, thirty-three million, one hundred one thousand, four hundred forty".