8330612238400 has 189 divisors, whose sum is σ = 20868897525901. Its totient is φ = 3273087700480.

The previous prime is 8330612238379. The next prime is 8330612238409. The reversal of 8330612238400 is 48322160338.

The square root of 8330612238400 is 2886280.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2999020405824 + 5331591832576 = 1731768^2 + 2309024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8330612238409) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6811620189 + ... + 6811621411.

Almost surely, 2^{8330612238400} is an apocalyptic number.

8330612238400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8330612238400 is the 2886280-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8330612238400

8330612238400 is an abundant number, since it is smaller than the sum of its proper divisors (12538285287501).

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

8330612238400 is an frugal number, since it uses more digits than its factorization.

8330612238400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2586 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

Adding to 8330612238400 its reverse (48322160338), we get a palindrome (8378934398738).

The spelling of 8330612238400 in words is "eight trillion, three hundred thirty billion, six hundred twelve million, two hundred thirty-eight thousand, four hundred".