427432899600 has 1080 divisors, whose sum is σ = 1842233771040. Its totient is φ = 91236741120.

The previous prime is 427432899589. The next prime is 427432899653. The reversal of 427432899600 is 6998234724.

427432899600 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 3 + 28 + 9 + 9 + 600 = 666.

It is an unprimeable number.

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 215 ways as a sum of consecutive naturals, for example, 244665927 + ... + 244667673.

Almost surely, 2^427432899600 is an apocalyptic number.

427432899600 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 427432899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (921116885520).

427432899600 is an abundant number, since it is smaller than the sum of its proper divisors (1414800871440).

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

427432899600 is a wasteful number, since it uses less digits than its factorization.

427432899600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1856 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 427432899600 in words is "four hundred twenty-seven billion, four hundred thirty-two million, eight hundred ninety-nine thousand, six hundred".