1044016560 has 160 divisors (see below), whose sum is σ = 3785472000. Its totient is φ = 263741184.

The previous prime is 1044016553. The next prime is 1044016577. The reversal of 1044016560 is 656104401.

1044016560 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 1 + 656 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 28321 + ... + 53759.

It is an arithmetic number, because the mean of its divisors is an integer number (23659200).

Almost surely, 2^1044016560 is an apocalyptic number.

1044016560 is a gapful number since it is divisible by the number (10) 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 1044016560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892736000).

1044016560 is an abundant number, since it is smaller than the sum of its proper divisors (2741455440).

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

1044016560 is a wasteful number, since it uses less digits than its factorization.

1044016560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25480 (or 25468 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1044016560 is about 32311.2451013575. The cubic root of 1044016560 is about 1014.4620281625.

It can be divided in two parts, 10440 and 16560, that added together give a cube (27000 = 30³).

The spelling of 1044016560 in words is "one billion, forty-four million, sixteen thousand, five hundred sixty".