4581229282560 has 864 divisors, whose sum is σ = 18815690170368. Its totient is φ = 1007052963840.

The previous prime is 4581229282543. The next prime is 4581229282561. The reversal of 4581229282560 is 652829221854.

4581229282560 is a `hidden beast` number, since 4 + 5 + 81 + 229 + 282 + 5 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4581229282497 and 4581229282506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4581229282561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 407468299 + ... + 407479541.

Almost surely, 2^{4581229282560} is an apocalyptic number.

4581229282560 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 4581229282560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9407845085184).

4581229282560 is an abundant number, since it is smaller than the sum of its proper divisors (14234460887808).

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

4581229282560 is a wasteful number, since it uses less digits than its factorization.

4581229282560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11471 (or 11454 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 4581229282560 in words is "four trillion, five hundred eighty-one billion, two hundred twenty-nine million, two hundred eighty-two thousand, five hundred sixty".