4484080801 has 16 divisors (see below), whose sum is σ = 4633292880. Its totient is φ = 4336450560.

The previous prime is 4484080753. The next prime is 4484080817. The reversal of 4484080801 is 1080804844.

It can be written as a sum of positive squares in 8 ways, for example, as 997296400 + 3486784401 = 31580^2 + 59049^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4484080801 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4484080841) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8606421 + ... + 8606941.

It is an arithmetic number, because the mean of its divisors is an integer number (289580805).

Almost surely, 2^4484080801 is an apocalyptic number.

It is an amenable number.

4484080801 is a deficient number, since it is larger than the sum of its proper divisors (149212079).

4484080801 is a wasteful number, since it uses less digits than its factorization.

4484080801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1524.

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 4484080801 is about 66963.2794970497. The cubic root of 4484080801 is about 1649.0145080557.

The spelling of 4484080801 in words is "four billion, four hundred eighty-four million, eighty thousand, eight hundred one".