401404001 has 2 divisors, whose sum is σ = 401404002. Its totient is φ = 401404000.

The previous prime is 401403979. The next prime is 401404007. The reversal of 401404001 is 100404104.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 323964001 + 77440000 = 17999^2 + 8800^2 .

It is a cyclic number.

It is not a de Polignac number, because 401404001 - 2¹⁴ = 401387617 is a prime.

It is a super-2 number, since 2×401404001² = 322250344037616002, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401404007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200702000 + 200702001.

It is an arithmetic number, because the mean of its divisors is an integer number (200702001).

Almost surely, 2^401404001 is an apocalyptic number.

It is an amenable number.

401404001 is a deficient number, since it is larger than the sum of its proper divisors (1).

401404001 is an equidigital number, since it uses as much as digits as its factorization.

401404001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 401404001 is about 20035.0692786424. The cubic root of 401404001 is about 737.6673570594.

Adding to 401404001 its reverse (100404104), we get a palindrome (501808105).

It can be divided in two parts, 40 and 1404001, that added together give a palindrome (1404041).

The spelling of 401404001 in words is "four hundred one million, four hundred four thousand, one".