401627441 has 2 divisors, whose sum is σ = 401627442. Its totient is φ = 401627440.

The previous prime is 401627423. The next prime is 401627503. The reversal of 401627441 is 144726104.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 240870400 + 160757041 = 15520^2 + 12679^2 .

It is a cyclic number.

It is not a de Polignac number, because 401627441 - 2¹⁴ = 401611057 is a prime.

It is a super-2 number, since 2×401627441² = 322609202728416962, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (401627411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200813720 + 200813721.

It is an arithmetic number, because the mean of its divisors is an integer number (200813721).

Almost surely, 2^401627441 is an apocalyptic number.

It is an amenable number.

401627441 is a deficient number, since it is larger than the sum of its proper divisors (1).

401627441 is an equidigital number, since it uses as much as digits as its factorization.

401627441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 401627441 is about 20040.6447251579. The cubic root of 401627441 is about 737.8042049071.

The spelling of 401627441 in words is "four hundred one million, six hundred twenty-seven thousand, four hundred forty-one".