312189474240 has 1680 divisors, whose sum is σ = 1441692600480. Its totient is φ = 63541739520.

The previous prime is 312189474217. The next prime is 312189474251. The reversal of 312189474240 is 42474981213.

312189474240 is a `hidden beast` number, since 3 + 1 + 2 + 189 + 47 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 410235460 + ... + 410236220.

Almost surely, 2^312189474240 is an apocalyptic number.

312189474240 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 312189474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720846300240).

312189474240 is an abundant number, since it is smaller than the sum of its proper divisors (1129503126240).

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

312189474240 is a wasteful number, since it uses less digits than its factorization.

312189474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 312189474240 in words is "three hundred twelve billion, one hundred eighty-nine million, four hundred seventy-four thousand, two hundred forty".