416041664 has 56 divisors (see below), whose sum is σ = 869716320. Its totient is φ = 197074944.

The previous prime is 416041657. The next prime is 416041709. The reversal of 416041664 is 466140614.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 416041664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 159152 + ... + 161744.

Almost surely, 2^416041664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434858160).

416041664 is an abundant number, since it is smaller than the sum of its proper divisors (453674656).

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

416041664 is a wasteful number, since it uses less digits than its factorization.

416041664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2737 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 416041664 is about 20397.0994016306. The cubic root of 416041664 is about 746.5271522214.

The spelling of 416041664 in words is "four hundred sixteen million, forty-one thousand, six hundred sixty-four".