312001410143440 has 20 divisors (see below), whose sum is σ = 725403278583684. Its totient is φ = 124800564057344.

The previous prime is 312001410143389. The next prime is 312001410143443. The reversal of 312001410143440 is 44341014100213.

It can be written as a sum of positive squares in 2 ways, for example, as 42458829409936 + 269542580733504 = 6516044^2 + 16417752^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 312001410143399 and 312001410143408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312001410143443) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1950008813317 + ... + 1950008813476.

Almost surely, 2^{312001410143440} is an apocalyptic number.

It is an amenable number.

312001410143440 is an abundant number, since it is smaller than the sum of its proper divisors (413401868440244).

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

312001410143440 is a wasteful number, since it uses less digits than its factorization.

312001410143440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900017626806 (or 3900017626800 counting only the distinct ones).

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

Adding to 312001410143440 its reverse (44341014100213), we get a palindrome (356342424243653).

The spelling of 312001410143440 in words is "three hundred twelve trillion, one billion, four hundred ten million, one hundred forty-three thousand, four hundred forty".