312403403004040 has 64 divisors (see below), whose sum is σ = 710019089642160. Its totient is φ = 123697636147200.

The previous prime is 312403403004029. The next prime is 312403403004041. The reversal of 312403403004040 is 40400304304213.

It can be written as a sum of positive squares in 8 ways, for example, as 229951809162244 + 82451593841796 = 15164162^2 + 9080286^2 .

It is not an unprimeable number, because it can be changed into a prime (312403403004041) 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, 10605052 + ... + 27152788.

Almost surely, 2^{312403403004040} is an apocalyptic number.

It is an amenable number.

312403403004040 is an abundant number, since it is smaller than the sum of its proper divisors (397615686638120).

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

312403403004040 is a wasteful number, since it uses less digits than its factorization.

312403403004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16552522 (or 16552518 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 312403403004040 its reverse (40400304304213), we get a palindrome (352803707308253).

The spelling of 312403403004040 in words is "three hundred twelve trillion, four hundred three billion, four hundred three million, four thousand, forty".