416344221405 has 216 divisors, whose sum is σ = 881933688792. Its totient is φ = 181113408000.

The previous prime is 416344221373. The next prime is 416344221457. The reversal of 416344221405 is 504122443614.

416344221405 is a `hidden beast` number, since 4 + 1 + 634 + 4 + 2 + 2 + 14 + 0 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10985345721 + 405358875684 = 104811^2 + 636678^2 .

It is not a de Polignac number, because 416344221405 - 2⁵ = 416344221373 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 416344221405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 129257695 + ... + 129260915.

It is an arithmetic number, because the mean of its divisors is an integer number (4083026337).

Almost surely, 2^416344221405 is an apocalyptic number.

416344221405 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

416344221405 is an abundant number, since it is smaller than the sum of its proper divisors (465589467387).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

416344221405 is a wasteful number, since it uses less digits than its factorization.

416344221405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 416344221405 in words is "four hundred sixteen billion, three hundred forty-four million, two hundred twenty-one thousand, four hundred five".