401442401 has 2 divisors, whose sum is σ = 401442402. Its totient is φ = 401442400.

The previous prime is 401442361. The next prime is 401442407. The reversal of 401442401 is 104244104.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 400000000 + 1442401 = 20000^2 + 1201^2 .

It is a cyclic number.

It is not a de Polignac number, because 401442401 - 2²² = 397248097 is a prime.

It is a super-2 number, since 2×401442401² = 322312002641289602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (401442407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200721200 + 200721201.

It is an arithmetic number, because the mean of its divisors is an integer number (200721201).

Almost surely, 2^401442401 is an apocalyptic number.

It is an amenable number.

401442401 is a deficient number, since it is larger than the sum of its proper divisors (1).

401442401 is an equidigital number, since it uses as much as digits as its factorization.

401442401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 401442401 is about 20036.0275753454. The cubic root of 401442401 is about 737.6908790997.

Adding to 401442401 its reverse (104244104), we get a palindrome (505686505).

It can be divided in two parts, 40 and 1442401, that added together give a palindrome (1442441).

The spelling of 401442401 in words is "four hundred one million, four hundred forty-two thousand, four hundred one".