416419781697 has 12 divisors (see below), whose sum is σ = 602865394560. Its totient is φ = 276980808888.

The previous prime is 416419781669. The next prime is 416419781699. The reversal of 416419781697 is 796187914614.

416419781697 is a `hidden beast` number, since 416 + 41 + 97 + 8 + 1 + 6 + 97 = 666.

It is not a de Polignac number, because 416419781697 - 2¹² = 416419777601 is a prime.

It is not an unprimeable number, because it can be changed into a prime (416419781699) 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 11 ways as a sum of consecutive naturals, for example, 52694073 + ... + 52701974.

It is an arithmetic number, because the mean of its divisors is an integer number (50238782880).

Almost surely, 2^416419781697 is an apocalyptic number.

It is an amenable number.

416419781697 is a deficient number, since it is larger than the sum of its proper divisors (186445612863).

416419781697 is a wasteful number, since it uses less digits than its factorization.

416419781697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105396492 (or 105396489 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 416419781697 in words is "four hundred sixteen billion, four hundred nineteen million, seven hundred eighty-one thousand, six hundred ninety-seven".