312491610480 has 320 divisors, whose sum is σ = 1223206852608. Its totient is φ = 64302120960.

The previous prime is 312491610479. The next prime is 312491610491. The reversal of 312491610480 is 84016194213.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 419020 + ... + 894740.

Almost surely, 2^312491610480 is an apocalyptic number.

312491610480 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 312491610480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611603426304).

312491610480 is an abundant number, since it is smaller than the sum of its proper divisors (910715242128).

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

312491610480 is a wasteful number, since it uses less digits than its factorization.

312491610480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475784 (or 475778 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 312491610480 in words is "three hundred twelve billion, four hundred ninety-one million, six hundred ten thousand, four hundred eighty".