312140030031040 has 224 divisors, whose sum is σ = 800357887281024. Its totient is φ = 115520076840960.

The previous prime is 312140030031031. The next prime is 312140030031073. The reversal of 312140030031040 is 40130030041213.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591406942 + ... + 591934498.

Almost surely, 2^{312140030031040} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312140030031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400178943640512).

312140030031040 is an abundant number, since it is smaller than the sum of its proper divisors (488217857249984).

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

312140030031040 is a wasteful number, since it uses less digits than its factorization.

312140030031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529435 (or 529425 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 312140030031040 its reverse (40130030041213), we get a palindrome (352270060072253).

The spelling of 312140030031040 in words is "three hundred twelve trillion, one hundred forty billion, thirty million, thirty-one thousand, forty".