4559085440 has 384 divisors, whose sum is σ = 13977321120. Its totient is φ = 1408942080.

The previous prime is 4559085409. The next prime is 4559085451. The reversal of 4559085440 is 445809554.

It is a Cunningham number, because it is equal to 67521²-1.

It is a junction number, because it is equal to n+sod(n) for n = 4559085391 and 4559085400.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 21606935 + ... + 21607145.

Almost surely, 2^4559085440 is an apocalyptic number.

4559085440 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 4559085440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6988660560).

4559085440 is an abundant number, since it is smaller than the sum of its proper divisors (9418235680).

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

4559085440 is a wasteful number, since it uses less digits than its factorization.

4559085440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 44.

The square root of 4559085440 is about 67520.9999925949. Note that the first 5 decimals coincide. The cubic root of 4559085440 is about 1658.1579993804.

The spelling of 4559085440 in words is "four billion, five hundred fifty-nine million, eighty-five thousand, four hundred forty".