4164609280 has 144 divisors (see below), whose sum is σ = 10788518160. Its totient is φ = 1531183104.

The previous prime is 4164609269. The next prime is 4164609283. The reversal of 4164609280 is 829064614.

It can be written as a sum of positive squares in 8 ways, for example, as 1025024256 + 3139585024 = 32016^2 + 56032^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4164609283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5873566 + ... + 5874274.

It is an arithmetic number, because the mean of its divisors is an integer number (74920265).

Almost surely, 2^4164609280 is an apocalyptic number.

4164609280 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 4164609280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5394259080).

4164609280 is an abundant number, since it is smaller than the sum of its proper divisors (6623908880).

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

4164609280 is a wasteful number, since it uses less digits than its factorization.

4164609280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 4164609280 is about 64533.7840204648. The cubic root of 4164609280 is about 1608.8840794071.

The spelling of 4164609280 in words is "four billion, one hundred sixty-four million, six hundred nine thousand, two hundred eighty".