405138041 has 16 divisors (see below), whose sum is σ = 506148480. Its totient is φ = 315041280.

The previous prime is 405138011. The next prime is 405138047. The reversal of 405138041 is 140831504.

It is a cyclic number.

It is not a de Polignac number, because 405138041 - 2¹⁴ = 405121657 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 405138041.

It is not an unprimeable number, because it can be changed into a prime (405138047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34025 + ... + 44361.

It is an arithmetic number, because the mean of its divisors is an integer number (31634280).

Almost surely, 2^405138041 is an apocalyptic number.

It is an amenable number.

405138041 is a deficient number, since it is larger than the sum of its proper divisors (101010439).

405138041 is a wasteful number, since it uses less digits than its factorization.

405138041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10864.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 405138041 is about 20128.0411615239. The cubic root of 405138041 is about 739.9476716102.

Adding to 405138041 its reverse (140831504), we get a palindrome (545969545).

The spelling of 405138041 in words is "four hundred five million, one hundred thirty-eight thousand, forty-one".