1044016416 has 72 divisors (see below), whose sum is σ = 2988707904. Its totient is φ = 345686400.

The previous prime is 1044016409. The next prime is 1044016439. The reversal of 1044016416 is 6146104401.

1044016416 is a `hidden beast` number, since 10 + 4 + 4 + 0 + 1 + 641 + 6 = 666.

1044016416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 1044016416.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31485 + ... + 55491.

It is an arithmetic number, because the mean of its divisors is an integer number (41509832).

Almost surely, 2^1044016416 is an apocalyptic number.

1044016416 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 1044016416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494353952).

1044016416 is an abundant number, since it is smaller than the sum of its proper divisors (1944691488).

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

1044016416 is a wasteful number, since it uses less digits than its factorization.

1044016416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24174 (or 24163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1044016416 is about 32311.2428730311. The cubic root of 1044016416 is about 1014.4619815213.

The spelling of 1044016416 in words is "one billion, forty-four million, sixteen thousand, four hundred sixteen".