411445505664 has 80 divisors (see below), whose sum is σ = 1224455188770. Its totient is φ = 137148498432.

The previous prime is 411445505663. The next prime is 411445505683. The reversal of 411445505664 is 466505544114.

411445505664 is a `hidden beast` number, since 4 + 1 + 1 + 44 + 550 + 56 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 409610240064 + 1835265600 = 640008^2 + 42840^2 .

It is a super-3 number, since 3×411445505664³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (411445505663) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19831719 + ... + 19852454.

Almost surely, 2^411445505664 is an apocalyptic number.

It is an amenable number.

411445505664 is an abundant number, since it is smaller than the sum of its proper divisors (813009683106).

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

411445505664 is an equidigital number, since it uses as much as digits as its factorization.

411445505664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39684199 (or 39684178 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 411445505664 in words is "four hundred eleven billion, four hundred forty-five million, five hundred five thousand, six hundred sixty-four".