427771713456 has 120 divisors (see below), whose sum is σ = 1270532412864. Its totient is φ = 133891184640.

The previous prime is 427771713451. The next prime is 427771713491. The reversal of 427771713456 is 654317177724.

427771713456 is a `hidden beast` number, since 42 + 77 + 71 + 7 + 13 + 456 = 666.

It is not an unprimeable number, because it can be changed into a prime (427771713451) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 852370 + ... + 1257806.

Almost surely, 2^427771713456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427771713456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635266206432).

427771713456 is an abundant number, since it is smaller than the sum of its proper divisors (842760699408).

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

427771713456 is a wasteful number, since it uses less digits than its factorization.

427771713456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405899 (or 405890 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The spelling of 427771713456 in words is "four hundred twenty-seven billion, seven hundred seventy-one million, seven hundred thirteen thousand, four hundred fifty-six".