4712314320 has 840 divisors, whose sum is σ = 20441207304. Its totient is φ = 1003290624.

The previous prime is 4712314307. The next prime is 4712314331. The reversal of 4712314320 is 234132174.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 869306256 + 3843008064 = 29484^2 + 61992^2 .

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 48580512 + ... + 48580608.

Almost surely, 2^4712314320 is an apocalyptic number.

4712314320 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 4712314320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10220603652).

4712314320 is an abundant number, since it is smaller than the sum of its proper divisors (15728892984).

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

4712314320 is a wasteful number, since it uses less digits than its factorization.

4712314320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 4712314320 is about 68646.2986620546. The cubic root of 4712314320 is about 1676.5303391316.

Adding to 4712314320 its reverse (234132174), we get a palindrome (4946446494).

The spelling of 4712314320 in words is "four billion, seven hundred twelve million, three hundred fourteen thousand, three hundred twenty".