1024441440 has 192 divisors, whose sum is σ = 3538950912. Its totient is φ = 247040000.

The previous prime is 1024441409. The next prime is 1024441447. The reversal of 1024441440 is 441444201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1024441440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024441447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324894 + ... + 1325666.

It is an arithmetic number, because the mean of its divisors is an integer number (18432036).

Almost surely, 2^1024441440 is an apocalyptic number.

1024441440 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 1024441440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769475456).

1024441440 is an abundant number, since it is smaller than the sum of its proper divisors (2514509472).

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

1024441440 is a wasteful number, since it uses less digits than its factorization.

1024441440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 1024441440 is about 32006.8967567929. The cubic root of 1024441440 is about 1008.0816575319.

Adding to 1024441440 its reverse (441444201), we get a palindrome (1465885641).

The spelling of 1024441440 in words is "one billion, twenty-four million, four hundred forty-one thousand, four hundred forty".