427225999200 has 1152 divisors, whose sum is σ = 1880303652864. Its totient is φ = 81368064000.

The previous prime is 427225999171. The next prime is 427225999237. The reversal of 427225999200 is 2999522724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 391590655 + ... + 391591745.

It is an arithmetic number, because the mean of its divisors is an integer number (1632208032).

Almost surely, 2^427225999200 is an apocalyptic number.

427225999200 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 427225999200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (940151826432).

427225999200 is an abundant number, since it is smaller than the sum of its proper divisors (1453077653664).

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

427225999200 is a wasteful number, since it uses less digits than its factorization.

427225999200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 427225999200 in words is "four hundred twenty-seven billion, two hundred twenty-five million, nine hundred ninety-nine thousand, two hundred".