312433333003040 has 96 divisors (see below), whose sum is σ = 782508859115760. Its totient is φ = 117476568039424.

The previous prime is 312433333003037. The next prime is 312433333003097. The reversal of 312433333003040 is 40300333334213.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 257799888597904 + 54633444405136 = 16056148^2 + 7391444^2 .

It is a super-2 number, since 2×312433333003040² (a number of 30 digits) contains 22 as substring.

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 = 312433333002988 and 312433333003006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68791607 + ... + 73192566.

Almost surely, 2^{312433333003040} is an apocalyptic number.

It is an amenable number.

312433333003040 is an abundant number, since it is smaller than the sum of its proper divisors (470075526112720).

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

312433333003040 is a wasteful number, since it uses less digits than its factorization.

312433333003040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141985014 (or 141985006 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 32.

Adding to 312433333003040 its reverse (40300333334213), we get a palindrome (352733666337253).

The spelling of 312433333003040 in words is "three hundred twelve trillion, four hundred thirty-three billion, three hundred thirty-three million, three thousand, forty".