401401 has 16 divisors (see below), whose sum is σ = 540288. Its totient is φ = 288000.

The previous prime is 401393. The next prime is 401407. The reversal of 401401 is 104104.

401401 = 16² + 17² + ... + 106².

It is a 3-Lehmer number, since φ(401401) divides (401401-1)³.

It is a cyclic number.

It is not a de Polignac number, because 401401 - 2³ = 401393 is a prime.

It is a super-3 number, since 3×401401³ = 194024514333252603, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a deceptive number, since it divides R₄₀₁₄₀₀.

It is not an unprimeable number, because it can be changed into a prime (401407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 801 + ... + 1201.

It is an arithmetic number, because the mean of its divisors is an integer number (33768).

It is a Poulet number, since it divides 2⁴⁰¹⁴⁰⁰-1.

2⁴⁰¹⁴⁰¹ is an apocalyptic number.

401401 is the 401-st heptagonal number.

It is an amenable number.

401401 is a deficient number, since it is larger than the sum of its proper divisors (138887).

401401 is a wasteful number, since it uses less digits than its factorization.

401401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432.

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 401401 is about 633.5621516473. The cubic root of 401401 is about 73.7665518724.

Adding to 401401 its reverse (104104), we get a palindrome (505505).

It can be divided in two parts, 40 and 1401, that added together give a palindrome (1441).

The spelling of 401401 in words is "four hundred one thousand, four hundred one", and thus it is an iban number.