1024144000 has 288 divisors, whose sum is σ = 2925779220. Its totient is φ = 356224000.

The previous prime is 1024143997. The next prime is 1024144001. The reversal of 1024144000 is 4414201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 692321344 + 331822656 = 26312^2 + 18216^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (1024144001) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44527989 + ... + 44528011.

Almost surely, 2^1024144000 is an apocalyptic number.

1024144000 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 1024144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1462889610).

1024144000 is an abundant number, since it is smaller than the sum of its proper divisors (1901635220).

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

1024144000 is an equidigital number, since it uses as much as digits as its factorization.

1024144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1024144000 is about 32002.2499209040. The cubic root of 1024144000 is about 1007.9840847407.

Adding to 1024144000 its reverse (4414201), we get a palindrome (1028558201).

The spelling of 1024144000 in words is "one billion, twenty-four million, one hundred forty-four thousand".