4712313184320 has 896 divisors, whose sum is σ = 18438892093440. Its totient is φ = 996509122560.

The previous prime is 4712313184307. The next prime is 4712313184333. The reversal of 4712313184320 is 234813132174.

It is an interprime number because it is at equal distance from previous prime (4712313184307) and next prime (4712313184333).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 622248054 + ... + 622255626.

It is an arithmetic number, because the mean of its divisors is an integer number (20579120640).

Almost surely, 2^{4712313184320} is an apocalyptic number.

4712313184320 is a gapful number since it is divisible by the number (40) 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 4712313184320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9219446046720).

4712313184320 is an abundant number, since it is smaller than the sum of its proper divisors (13726578909120).

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

4712313184320 is a wasteful number, since it uses less digits than its factorization.

4712313184320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 4712313184320 in words is "four trillion, seven hundred twelve billion, three hundred thirteen million, one hundred eighty-four thousand, three hundred twenty".