416077141 has 2 divisors, whose sum is σ = 416077142. Its totient is φ = 416077140.

The previous prime is 416077139. The next prime is 416077147. The reversal of 416077141 is 141770614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 404854641 + 11222500 = 20121^2 + 3350^2 .

It is a cyclic number.

It is not a de Polignac number, because 416077141 - 2¹ = 416077139 is a prime.

Together with 416077139, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (416077147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 208038570 + 208038571.

It is an arithmetic number, because the mean of its divisors is an integer number (208038571).

Almost surely, 2^416077141 is an apocalyptic number.

It is an amenable number.

416077141 is a deficient number, since it is larger than the sum of its proper divisors (1).

416077141 is an equidigital number, since it uses as much as digits as its factorization.

416077141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 416077141 is about 20397.9690410590. The cubic root of 416077141 is about 746.5483710826.

The spelling of 416077141 in words is "four hundred sixteen million, seventy-seven thousand, one hundred forty-one".