4164490880 has 96 divisors (see below), whose sum is σ = 10943285220. Its totient is φ = 1514332160.

The previous prime is 4164490853. The next prime is 4164490907. The reversal of 4164490880 is 880944614.

It is an interprime number because it is at equal distance from previous prime (4164490853) and next prime (4164490907).

It can be written as a sum of positive squares in 2 ways, for example, as 3570301504 + 594189376 = 59752^2 + 24376^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50552 + ... + 104328.

Almost surely, 2^4164490880 is an apocalyptic number.

4164490880 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 4164490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471642610).

4164490880 is an abundant number, since it is smaller than the sum of its proper divisors (6778794340).

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

4164490880 is a wasteful number, since it uses less digits than its factorization.

4164490880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53818 (or 53795 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 4164490880 is about 64532.8666649793. The cubic root of 4164490880 is about 1608.8688323841.

The spelling of 4164490880 in words is "four billion, one hundred sixty-four million, four hundred ninety thousand, eight hundred eighty".