427225968288 has 432 divisors, whose sum is σ = 1494513296640. Its totient is φ = 115241011200.

The previous prime is 427225968167. The next prime is 427225968307. The reversal of 427225968288 is 882869522724.

427225968288 is a `hidden beast` number, since 4 + 272 + 25 + 9 + 68 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17924443 + ... + 17948261.

It is an arithmetic number, because the mean of its divisors is an integer number (3459521520).

Almost surely, 2^427225968288 is an apocalyptic number.

427225968288 is a gapful number since it is divisible by the number (48) 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 427225968288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747256648320).

427225968288 is an abundant number, since it is smaller than the sum of its proper divisors (1067287328352).

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

427225968288 is a wasteful number, since it uses less digits than its factorization.

427225968288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23921 (or 23903 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 427225968288 in words is "four hundred twenty-seven billion, two hundred twenty-five million, nine hundred sixty-eight thousand, two hundred eighty-eight".