427416291200 has 384 divisors, whose sum is σ = 1115781264000. Its totient is φ = 161558691840.

The previous prime is 427416291199. The next prime is 427416291227. The reversal of 427416291200 is 2192614724.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1268297432 + ... + 1268297768.

It is an arithmetic number, because the mean of its divisors is an integer number (2905680375).

Almost surely, 2^427416291200 is an apocalyptic number.

427416291200 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 427416291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557890632000).

427416291200 is an abundant number, since it is smaller than the sum of its proper divisors (688364972800).

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

427416291200 is a wasteful number, since it uses less digits than its factorization.

427416291200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 427416291200 in words is "four hundred twenty-seven billion, four hundred sixteen million, two hundred ninety-one thousand, two hundred".