4005405020 has 48 divisors (see below), whose sum is σ = 8918048160. Its totient is φ = 1505900544.

The previous prime is 4005405013. The next prime is 4005405043. The reversal of 4005405020 is 205045004.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4005404983 and 4005405001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 260096 + ... + 275064.

It is an arithmetic number, because the mean of its divisors is an integer number (185792670).

Almost surely, 2^4005405020 is an apocalyptic number.

It is an amenable number.

4005405020 is an abundant number, since it is smaller than the sum of its proper divisors (4912643140).

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

4005405020 is a wasteful number, since it uses less digits than its factorization.

4005405020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15780 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 4005405020 is about 63288.2692131804. The cubic root of 4005405020 is about 1588.1157246993.

The spelling of 4005405020 in words is "four billion, five million, four hundred five thousand, twenty".