312404431140 has 36 divisors (see below), whose sum is σ = 947626775004. Its totient is φ = 83307848256.

The previous prime is 312404431133. The next prime is 312404431153. The reversal of 312404431140 is 41134404213.

312404431140 is a `hidden beast` number, since 31 + 240 + 44 + 311 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57231949824 + 255172481316 = 239232^2 + 505146^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867789907 + ... + 867790266.

Almost surely, 2^312404431140 is an apocalyptic number.

312404431140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312404431140 is an abundant number, since it is smaller than the sum of its proper divisors (635222343864).

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

312404431140 is a wasteful number, since it uses less digits than its factorization.

312404431140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735580188 (or 1735580183 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 312404431140 its reverse (41134404213), we get a palindrome (353538835353).

The spelling of 312404431140 in words is "three hundred twelve billion, four hundred four million, four hundred thirty-one thousand, one hundred forty".