312034431240 has 192 divisors, whose sum is σ = 1185938582400. Its totient is φ = 69663476736.

The previous prime is 312034431229. The next prime is 312034431251. The reversal of 312034431240 is 42134430213.

312034431240 is a `hidden beast` number, since 3 + 1 + 2 + 0 + 344 + 312 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312034431229) and next prime (312034431251).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1331445 + ... + 1548164.

It is an arithmetic number, because the mean of its divisors is an integer number (6176763450).

Almost surely, 2^312034431240 is an apocalyptic number.

312034431240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312034431240 is an abundant number, since it is smaller than the sum of its proper divisors (873904151160).

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

312034431240 is a wasteful number, since it uses less digits than its factorization.

312034431240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2879676 (or 2879669 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 312034431240 its reverse (42134430213), we get a palindrome (354168861453).

The spelling of 312034431240 in words is "three hundred twelve billion, thirty-four million, four hundred thirty-one thousand, two hundred forty".