312404144303040 has 56 divisors (see below), whose sum is σ = 991883158165200. Its totient is φ = 83307771813888.

The previous prime is 312404144302969. The next prime is 312404144303047. The reversal of 312404144303040 is 40303441404213.

It is a super-3 number, since 3×312404144303040³ (a number of 44 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312404144302992 and 312404144303010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312404144303047) 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, 162710490865 + ... + 162710492784.

It is an arithmetic number, because the mean of its divisors is an integer number (17712199252950).

Almost surely, 2^{312404144303040} is an apocalyptic number.

312404144303040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312404144303040 is an abundant number, since it is smaller than the sum of its proper divisors (679479013862160).

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

312404144303040 is a wasteful number, since it uses less digits than its factorization.

312404144303040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325420983669 (or 325420983659 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 312404144303040 its reverse (40303441404213), we get a palindrome (352707585707253).

The spelling of 312404144303040 in words is "three hundred twelve trillion, four hundred four billion, one hundred forty-four million, three hundred three thousand, forty".