1040544000 has 216 divisors, whose sum is σ = 3745217112. Its totient is φ = 277401600.

The previous prime is 1040543981. The next prime is 1040544013. The reversal of 1040544000 is 4450401.

It can be written as a sum of positive squares in 4 ways, for example, as 325730304 + 714813696 = 18048^2 + 26736^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286194 + ... + 289806.

Almost surely, 2^1040544000 is an apocalyptic number.

1040544000 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 1040544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1872608556).

1040544000 is an abundant number, since it is smaller than the sum of its proper divisors (2704673112).

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

1040544000 is an equidigital number, since it uses as much as digits as its factorization.

1040544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3650 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1040544000 is about 32257.4642524796. The cubic root of 1040544000 is about 1013.3360264625.

Adding to 1040544000 its reverse (4450401), we get a palindrome (1044994401).

The spelling of 1040544000 in words is "one billion, forty million, five hundred forty-four thousand".