312435426540 has 192 divisors, whose sum is σ = 922521600000. Its totient is φ = 78851874816.

The previous prime is 312435426533. The next prime is 312435426547. The reversal of 312435426540 is 45624534213.

It is an interprime number because it is at equal distance from previous prime (312435426533) and next prime (312435426547).

It is not an unprimeable number, because it can be changed into a prime (312435426547) 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 63 ways as a sum of consecutive naturals, for example, 187873749 + ... + 187875411.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800000).

Almost surely, 2^312435426540 is an apocalyptic number.

312435426540 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 312435426540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800000).

312435426540 is an abundant number, since it is smaller than the sum of its proper divisors (610086173460).

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

312435426540 is a wasteful number, since it uses less digits than its factorization.

312435426540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 39.

The spelling of 312435426540 in words is "three hundred twelve billion, four hundred thirty-five million, four hundred twenty-six thousand, five hundred forty".