1024144411332 has 192 divisors, whose sum is σ = 2894059929600. Its totient is φ = 275562967680.

The previous prime is 1024144411331. The next prime is 1024144411333. The reversal of 1024144411332 is 2331144414201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1024144411331) and next prime (1024144411333).

It is a self number, because there is not a number n which added to its sum of digits gives 1024144411332.

It is not an unprimeable number, because it can be changed into a prime (1024144411331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54784107 + ... + 54802797.

It is an arithmetic number, because the mean of its divisors is an integer number (15073228800).

Almost surely, 2^{1024144411332} is an apocalyptic number.

1024144411332 is a gapful number since it is divisible by the number (12) 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 1024144411332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447029964800).

1024144411332 is an abundant number, since it is smaller than the sum of its proper divisors (1869915518268).

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

1024144411332 is a wasteful number, since it uses less digits than its factorization.

1024144411332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19166 (or 19164 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 1024144411332 its reverse (2331144414201), we get a palindrome (3355288825533).

The spelling of 1024144411332 in words is "one trillion, twenty-four billion, one hundred forty-four million, four hundred eleven thousand, three hundred thirty-two".