400041 has 6 divisors (see below), whose sum is σ = 577850. Its totient is φ = 266688.

The previous prime is 400033. The next prime is 400051. The reversal of 400041 is 140004.

It can be written as a sum of positive squares in only one way, i.e., 385641 + 14400 = 621^2 + 120^2 .

It is not a de Polignac number, because 400041 - 2³ = 400033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 44449 = 400041 / (4 + 0 + 0 + 0 + 4 + 1).

It is a Duffinian number.

400041 is a modest number, since divided by 41 gives 4 as remainder.

It is a Curzon number.

400041 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 399996 and 400032.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 400041.

It is not an unprimeable number, because it can be changed into a prime (400031) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22216 + ... + 22233.

2⁴⁰⁰⁰⁴¹ is an apocalyptic number.

It is an amenable number.

400041 is a deficient number, since it is larger than the sum of its proper divisors (177809).

400041 is a wasteful number, since it uses less digits than its factorization.

400041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44455 (or 44452 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 400041 is about 632.4879445491. The cubic root of 400041 is about 73.6831473083.

Adding to 400041 its reverse (140004), we get a palindrome (540045).

The spelling of 400041 in words is "four hundred thousand, forty-one", and thus it is an iban number.