427841305344 has 288 divisors, whose sum is σ = 1283770010880. Its totient is φ = 142285870080.

The previous prime is 427841305337. The next prime is 427841305399. The reversal of 427841305344 is 443503148724.

427841305344 is a `hidden beast` number, since 4 + 2 + 7 + 84 + 1 + 30 + 534 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 427841305344.

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 31 ways as a sum of consecutive naturals, for example, 440618779 + ... + 440619749.

It is an arithmetic number, because the mean of its divisors is an integer number (4457534760).

Almost surely, 2^427841305344 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 427841305344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641885005440).

427841305344 is an abundant number, since it is smaller than the sum of its proper divisors (855928705536).

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

427841305344 is an frugal number, since it uses more digits than its factorization.

427841305344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1795 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 427841305344 in words is "four hundred twenty-seven billion, eight hundred forty-one million, three hundred five thousand, three hundred forty-four".