427411891200 has 528 divisors, whose sum is σ = 1632743533440. Its totient is φ = 96585646080.

The previous prime is 427411891183. The next prime is 427411891219. The reversal of 427411891200 is 2198114724.

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 47 ways as a sum of consecutive naturals, for example, 47841934 + ... + 47850866.

Almost surely, 2^427411891200 is an apocalyptic number.

427411891200 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 427411891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816371766720).

427411891200 is an abundant number, since it is smaller than the sum of its proper divisors (1205331642240).

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

427411891200 is a wasteful number, since it uses less digits than its factorization.

427411891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9062 (or 9039 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The spelling of 427411891200 in words is "four hundred twenty-seven billion, four hundred eleven million, eight hundred ninety-one thousand, two hundred".