4164960000 has 180 divisors, whose sum is σ = 13853246792. Its totient is φ = 1110528000.

The previous prime is 4164959983. The next prime is 4164960001. The reversal of 4164960000 is 694614.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 4164960000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164960001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 475662 + ... + 484338.

Almost surely, 2^4164960000 is an apocalyptic number.

4164960000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4164960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926623396).

4164960000 is an abundant number, since it is smaller than the sum of its proper divisors (9688286792).

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

4164960000 is an frugal number, since it uses more digits than its factorization.

4164960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8716 (or 8687 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 4164960000 is about 64536.5012996521. The cubic root of 4164960000 is about 1608.9292418659.

The spelling of 4164960000 in words is "four billion, one hundred sixty-four million, nine hundred sixty thousand".