1844080416 has 108 divisors (see below), whose sum is σ = 5534947782. Its totient is φ = 582308352.

The previous prime is 1844080393. The next prime is 1844080501. The reversal of 1844080416 is 6140804481.

It can be written as a sum of positive squares in only one way, i.e., 1248915600 + 595164816 = 35340^2 + 24396^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 95100 + ... + 112836.

Almost surely, 2^1844080416 is an apocalyptic number.

1844080416 is a gapful number since it is divisible by the number (16) 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 1844080416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767473891).

1844080416 is an abundant number, since it is smaller than the sum of its proper divisors (3690867366).

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

1844080416 is a wasteful number, since it uses less digits than its factorization.

1844080416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17791 (or 17761 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 1844080416 is about 42942.7574335883. The cubic root of 1844080416 is about 1226.2902780836.

Adding to 1844080416 its reverse (6140804481), we get a palindrome (7984884897).

The spelling of 1844080416 in words is "one billion, eight hundred forty-four million, eighty thousand, four hundred sixteen".