4005585052560 has 240 divisors, whose sum is σ = 16556418488064. Its totient is φ = 845134414848.

The previous prime is 4005585052531. The next prime is 4005585052597. The reversal of 4005585052560 is 652505855004.

4005585052560 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 5 + 85 + 0 + 5 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×4005585052560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30502132 + ... + 30633171.

Almost surely, 2^{4005585052560} is an apocalyptic number.

4005585052560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4005585052560 is an abundant number, since it is smaller than the sum of its proper divisors (12550833435504).

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

4005585052560 is a wasteful number, since it uses less digits than its factorization.

4005585052560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61135342 (or 61135333 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 45.

The spelling of 4005585052560 in words is "four trillion, five billion, five hundred eighty-five million, fifty-two thousand, five hundred sixty".