1035144440 has 128 divisors (see below), whose sum is σ = 2668723200. Its totient is φ = 357688320.

The previous prime is 1035144437. The next prime is 1035144443. The reversal of 1035144440 is 444415301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1035144437) and next prime (1035144443).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035144443) by changing a digit.

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, 2357741 + ... + 2358179.

It is an arithmetic number, because the mean of its divisors is an integer number (20849400).

Almost surely, 2^1035144440 is an apocalyptic number.

1035144440 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 1035144440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1334361600).

1035144440 is an abundant number, since it is smaller than the sum of its proper divisors (1633578760).

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

1035144440 is a wasteful number, since it uses less digits than its factorization.

1035144440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1035144440 is about 32173.6606558843. The cubic root of 1035144440 is about 1011.5801947839.

Adding to 1035144440 its reverse (444415301), we get a palindrome (1479559741).

The spelling of 1035144440 in words is "one billion, thirty-five million, one hundred forty-four thousand, four hundred forty".