312340032331440 has 80 divisors (see below), whose sum is σ = 1025210223783648. Its totient is φ = 78391223799808.

The previous prime is 312340032331351. The next prime is 312340032331447. The reversal of 312340032331440 is 44133230043213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (312340032331447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38276960667 + ... + 38276968826.

Almost surely, 2^{312340032331440} is an apocalyptic number.

312340032331440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312340032331440 is an abundant number, since it is smaller than the sum of its proper divisors (712870191452208).

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

312340032331440 is a wasteful number, since it uses less digits than its factorization.

312340032331440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76553929526 (or 76553929520 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 33.

Adding to 312340032331440 its reverse (44133230043213), we get a palindrome (356473262374653).

The spelling of 312340032331440 in words is "three hundred twelve trillion, three hundred forty billion, thirty-two million, three hundred thirty-one thousand, four hundred forty".