4313323342400 has 84 divisors (see below), whose sum is σ = 10618464826020. Its totient is φ = 1724517580800.

The previous prime is 4313323342351. The next prime is 4313323342403. The reversal of 4313323342400 is 42433233134.

It can be written as a sum of positive squares in 6 ways, for example, as 49131382336 + 4264191960064 = 221656^2 + 2064992^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (4313323342403) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2773280 + ... + 4039520.

Almost surely, 2^{4313323342400} is an apocalyptic number.

4313323342400 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 4313323342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5309232413010).

4313323342400 is an abundant number, since it is smaller than the sum of its proper divisors (6305141483620).

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

4313323342400 is a wasteful number, since it uses less digits than its factorization.

4313323342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1268392 (or 1268377 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 4313323342400 its reverse (42433233134), we get a palindrome (4355756575534).

The spelling of 4313323342400 in words is "four trillion, three hundred thirteen billion, three hundred twenty-three million, three hundred forty-two thousand, four hundred".