416419781761 has 6 divisors (see below), whose sum is σ = 439490130162. Its totient is φ = 394502950800.

The previous prime is 416419781759. The next prime is 416419781851. The reversal of 416419781761 is 167187914614.

It can be written as a sum of positive squares in only one way, i.e., 255333143025 + 161086638736 = 505305^2 + 401356^2 .

It is not a de Polignac number, because 416419781761 - 2¹ = 416419781759 is a prime.

It is a super-2 number, since 2×416419781761² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (416419781711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 576758340 + ... + 576759061.

It is an arithmetic number, because the mean of its divisors is an integer number (73248355027).

Almost surely, 2^416419781761 is an apocalyptic number.

It is an amenable number.

416419781761 is a deficient number, since it is larger than the sum of its proper divisors (23070348401).

416419781761 is a wasteful number, since it uses less digits than its factorization.

416419781761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153517439 (or 1153517420 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 55.

The spelling of 416419781761 in words is "four hundred sixteen billion, four hundred nineteen million, seven hundred eighty-one thousand, seven hundred sixty-one".