4038016405 has 16 divisors (see below), whose sum is σ = 5134978800. Its totient is φ = 3042941440.

The previous prime is 4038016391. The next prime is 4038016447. The reversal of 4038016405 is 5046108304.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1121044324 + 2916972081 = 33482^2 + 54009^2 .

It is not a de Polignac number, because 4038016405 - 2⁵ = 4038016373 is a prime.

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, 333670 + ... + 345559.

It is an arithmetic number, because the mean of its divisors is an integer number (320936175).

Almost surely, 2^4038016405 is an apocalyptic number.

It is an amenable number.

4038016405 is a deficient number, since it is larger than the sum of its proper divisors (1096962395).

4038016405 is a wasteful number, since it uses less digits than its factorization.

4038016405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679304.

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 4038016405 is about 63545.3885423640. The cubic root of 4038016405 is about 1592.4141438154.

The spelling of 4038016405 in words is "four billion, thirty-eight million, sixteen thousand, four hundred five".