8666429454400 has 63 divisors (see below), whose sum is σ = 21325122731559. Its totient is φ = 3466524679680.

The previous prime is 8666429454379. The next prime is 8666429454413. The reversal of 8666429454400 is 44549246668.

The square root of 8666429454400 is 2943880.

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

It can be written as a sum of positive squares in 4 ways, for example, as 71494203456 + 8594935250944 = 267384^2 + 2931712^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 117718402 + ... + 117791998.

Almost surely, 2^{8666429454400} is an apocalyptic number.

8666429454400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8666429454400 is the 2943880-th square number.

It is an amenable number.

8666429454400 is an abundant number, since it is smaller than the sum of its proper divisors (12658693277159).

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

8666429454400 is an frugal number, since it uses more digits than its factorization.

8666429454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147216 (or 73604 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 58.

The spelling of 8666429454400 in words is "eight trillion, six hundred sixty-six billion, four hundred twenty-nine million, four hundred fifty-four thousand, four hundred".