4164841482704 has 80 divisors (see below), whose sum is σ = 9410773421952. Its totient is φ = 1748528930304.

The previous prime is 4164841482673. The next prime is 4164841482709. The reversal of 4164841482704 is 4072841484614.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164841482709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3271262 + ... + 4362434.

Almost surely, 2^{4164841482704} 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 4164841482704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4705386710976).

4164841482704 is an abundant number, since it is smaller than the sum of its proper divisors (5245931939248).

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

4164841482704 is a wasteful number, since it uses less digits than its factorization.

4164841482704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1091884 (or 1091878 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 53.

The spelling of 4164841482704 in words is "four trillion, one hundred sixty-four billion, eight hundred forty-one million, four hundred eighty-two thousand, seven hundred four".