841426560 has 384 divisors, whose sum is σ = 3318129360. Its totient is φ = 194641920.

The previous prime is 841426513. The next prime is 841426601. The reversal of 841426560 is 65624148.

841426560 is a `hidden beast` number, since 84 + 14 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 453178944 + 388247616 = 21288^2 + 19704^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272630 + ... + 1273290.

Almost surely, 2^841426560 is an apocalyptic number.

841426560 is a gapful number since it is divisible by the number (80) 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 841426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1659064680).

841426560 is an abundant number, since it is smaller than the sum of its proper divisors (2476702800).

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

841426560 is a wasteful number, since it uses less digits than its factorization.

841426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 841426560 is about 29007.3535504361. The cubic root of 841426560 is about 944.0726267976.

The spelling of 841426560 in words is "eight hundred forty-one million, four hundred twenty-six thousand, five hundred sixty".