312440214240 has 576 divisors, whose sum is σ = 1336341307392. Its totient is φ = 64578355200.

The previous prime is 312440214223. The next prime is 312440214241. The reversal of 312440214240 is 42412044213.

312440214240 is a `hidden beast` number, since 3 + 1 + 2 + 4 + 402 + 14 + 240 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312440214241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21170704 + ... + 21185456.

It is an arithmetic number, because the mean of its divisors is an integer number (2320036992).

Almost surely, 2^312440214240 is an apocalyptic number.

312440214240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312440214240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668170653696).

312440214240 is an abundant number, since it is smaller than the sum of its proper divisors (1023901093152).

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

312440214240 is a wasteful number, since it uses less digits than its factorization.

312440214240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14983 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 312440214240 its reverse (42412044213), we get a palindrome (354852258453).

The spelling of 312440214240 in words is "three hundred twelve billion, four hundred forty million, two hundred fourteen thousand, two hundred forty".