427922047388160 has 2400 divisors, whose sum is σ = 1761530064739632. Its totient is φ = 98898762792960.

The previous prime is 427922047388131. The next prime is 427922047388191. The reversal of 427922047388160 is 61883740229724.

It is a happy number.

427922047388160 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 2 + 20 + 473 + 8 + 81 + 60 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 6242722119936 + 421679325268224 = 2498544^2 + 20534832^2 .

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 239 ways as a sum of consecutive naturals, for example, 403319554030 + ... + 403319555090.

Almost surely, 2^{427922047388160} is an apocalyptic number.

427922047388160 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 427922047388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880765032369816).

427922047388160 is an abundant number, since it is smaller than the sum of its proper divisors (1333608017351472).

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

427922047388160 is a wasteful number, since it uses less digits than its factorization.

427922047388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 427922047388160 in words is "four hundred twenty-seven trillion, nine hundred twenty-two billion, forty-seven million, three hundred eighty-eight thousand, one hundred sixty".