9116430400 has 567 divisors, whose sum is σ = 29637472221. Its totient is φ = 2749824000.

The previous prime is 9116430347. The next prime is 9116430403. The reversal of 9116430400 is 40346119.

The square root of 9116430400 is 95480.

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., 3281914944 + 5834515456 = 57288^2 + 76384^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (9116430403) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 294078385 + ... + 294078415.

Almost surely, 2^9116430400 is an apocalyptic number.

9116430400 is the 95480-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9116430400

9116430400 is an abundant number, since it is smaller than the sum of its proper divisors (20521041821).

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

9116430400 is a wasteful number, since it uses less digits than its factorization.

9116430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 9116430400 is about 2089.0152332078.

Adding to 9116430400 its reverse (40346119), we get a palindrome (9156776519).

The spelling of 9116430400 in words is "nine billion, one hundred sixteen million, four hundred thirty thousand, four hundred".