401404121 has 2 divisors, whose sum is σ = 401404122. Its totient is φ = 401404120.

The previous prime is 401404117. The next prime is 401404177. The reversal of 401404121 is 121404104.

Added to its reverse (121404104) it gives a square (522808225 = 22865²).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 393625600 + 7778521 = 19840^2 + 2789^2 .

It is a cyclic number.

It is not a de Polignac number, because 401404121 - 2² = 401404117 is a prime.

It is a super-2 number, since 2×401404121² = 322250536711565282, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 401404121.

It is not a weakly prime, because it can be changed into another prime (401404181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200702060 + 200702061.

It is an arithmetic number, because the mean of its divisors is an integer number (200702061).

Almost surely, 2^401404121 is an apocalyptic number.

It is an amenable number.

401404121 is a deficient number, since it is larger than the sum of its proper divisors (1).

401404121 is an equidigital number, since it uses as much as digits as its factorization.

401404121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 401404121 is about 20035.0722733910. The cubic root of 401404121 is about 737.6674305681.

Subtracting from 401404121 its sum of digits (17), we obtain a palindrome (401404104).

Adding to 401404121 its reverse (121404104), we get a palindrome (522808225).

The spelling of 401404121 in words is "four hundred one million, four hundred four thousand, one hundred twenty-one".