401000401 has 8 divisors (see below), whose sum is σ = 406021608. Its totient is φ = 396000000.

The previous prime is 401000399. The next prime is 401000417. The reversal of 401000401 is 104000104.

It can be written as a sum of positive squares in 4 ways, for example, as 376398801 + 24601600 = 19401^2 + 4960^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 401000401 - 2¹ = 401000399 is a prime.

It is a super-3 number, since 3×401000401³ (a number of 27 digits) contains 333 as substring.

It is a deceptive number, since it divides R_401000400.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (401000801) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35551 + ... + 45451.

It is an arithmetic number, because the mean of its divisors is an integer number (50752701).

Almost surely, 2^401000401 is an apocalyptic number.

It is an amenable number.

401000401 is a deficient number, since it is larger than the sum of its proper divisors (5021207).

401000401 is a wasteful number, since it uses less digits than its factorization.

401000401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10403.

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

The square root of 401000401 is about 20024.9944069905. The cubic root of 401000401 is about 737.4200398228.

Adding to 401000401 its reverse (104000104), we get a palindrome (505000505).

The spelling of 401000401 in words is "four hundred one million, four hundred one", and thus it is an aban number.