4005585046008 has 192 divisors, whose sum is σ = 13938849540000. Its totient is φ = 1056417997824.

The previous prime is 4005585045997. The next prime is 4005585046037. The reversal of 4005585046008 is 8006405855004.

4005585046008 is a `hidden beast` number, since 4 + 0 + 0 + 5 + 585 + 0 + 4 + 60 + 0 + 8 = 666.

It is a super-2 number, since 2×4005585046008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

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, 14418433 + ... + 14693616.

Almost surely, 2^{4005585046008} is an apocalyptic number.

It is an amenable number.

4005585046008 is an abundant number, since it is smaller than the sum of its proper divisors (9933264493992).

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

4005585046008 is a wasteful number, since it uses less digits than its factorization.

4005585046008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29112091 (or 29112074 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 4005585046008 in words is "four trillion, five billion, five hundred eighty-five million, forty-six thousand, eight".