416001666336 has 96 divisors (see below), whose sum is σ = 1152435211200. Its totient is φ = 131031014400.

The previous prime is 416001666331. The next prime is 416001666347. The reversal of 416001666336 is 633666100614.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×416001666336³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (416001666331) 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 15 ways as a sum of consecutive naturals, for example, 416386 + ... + 1002686.

It is an arithmetic number, because the mean of its divisors is an integer number (12004533450).

Almost surely, 2^416001666336 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 416001666336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576217605600).

416001666336 is an abundant number, since it is smaller than the sum of its proper divisors (736433544864).

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

416001666336 is a wasteful number, since it uses less digits than its factorization.

416001666336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586722 (or 586714 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 416001666336 in words is "four hundred sixteen billion, one million, six hundred sixty-six thousand, three hundred thirty-six".