312141143211440 has 40 divisors (see below), whose sum is σ = 768418049615040. Its totient is φ = 117511959796736.

The previous prime is 312141143211437. The next prime is 312141143211449. The reversal of 312141143211440 is 44112341141213.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 312141143211397 and 312141143211406.

It is not an unprimeable number, because it can be changed into a prime (312141143211449) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114757771880 + ... + 114757774599.

It is an arithmetic number, because the mean of its divisors is an integer number (19210451240376).

Almost surely, 2^{312141143211440} is an apocalyptic number.

It is an amenable number.

312141143211440 is an abundant number, since it is smaller than the sum of its proper divisors (456276906403600).

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

312141143211440 is a wasteful number, since it uses less digits than its factorization.

312141143211440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229515546509 (or 229515546503 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

Adding to 312141143211440 its reverse (44112341141213), we get a palindrome (356253484352653).

The spelling of 312141143211440 in words is "three hundred twelve trillion, one hundred forty-one billion, one hundred forty-three million, two hundred eleven thousand, four hundred forty".