312900954240 has 512 divisors, whose sum is σ = 1182335040000. Its totient is φ = 70338723840.

The previous prime is 312900954229. The next prime is 312900954257. The reversal of 312900954240 is 42459009213.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40168266 + ... + 40176054.

It is an arithmetic number, because the mean of its divisors is an integer number (2309248125).

Almost surely, 2^312900954240 is an apocalyptic number.

312900954240 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 312900954240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591167520000).

312900954240 is an abundant number, since it is smaller than the sum of its proper divisors (869434085760).

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

312900954240 is an equidigital number, since it uses as much as digits as its factorization.

312900954240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7893 (or 7867 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The spelling of 312900954240 in words is "three hundred twelve billion, nine hundred million, nine hundred fifty-four thousand, two hundred forty".