312433243313040 has 120 divisors (see below), whose sum is σ = 1049260505529600. Its totient is φ = 83315092438272.

The previous prime is 312433243313027. The next prime is 312433243313077. The reversal of 312433243313040 is 40313342334213.

312433243313040 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 332 + 4 + 3 + 313 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×312433243313040² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 312433243312986 and 312433243313004.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149296159 + ... + 151374401.

It is an arithmetic number, because the mean of its divisors is an integer number (8743837546080).

Almost surely, 2^{312433243313040} is an apocalyptic number.

312433243313040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312433243313040 is an abundant number, since it is smaller than the sum of its proper divisors (736827262216560).

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

312433243313040 is a wasteful number, since it uses less digits than its factorization.

312433243313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287061 (or 2287052 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

Adding to 312433243313040 its reverse (40313342334213), we get a palindrome (352746585647253).

The spelling of 312433243313040 in words is "three hundred twelve trillion, four hundred thirty-three billion, two hundred forty-three million, three hundred thirteen thousand, forty".