1024144244420 has 144 divisors (see below), whose sum is σ = 2381228814384. Its totient is φ = 369711513600.

The previous prime is 1024144244413. The next prime is 1024144244429. The reversal of 1024144244420 is 244424414201.

It can be written as a sum of positive squares in 8 ways, for example, as 1202147584 + 1022942096836 = 34672^2 + 1011406^2 .

It is a super-2 number, since 2×1024144244420² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1024144244429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194664590 + ... + 194669850.

It is an arithmetic number, because the mean of its divisors is an integer number (16536311211).

Almost surely, 2^{1024144244420} is an apocalyptic number.

1024144244420 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 1024144244420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190614407192).

1024144244420 is an abundant number, since it is smaller than the sum of its proper divisors (1357084569964).

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

1024144244420 is a wasteful number, since it uses less digits than its factorization.

1024144244420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5849 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 32.

Adding to 1024144244420 its reverse (244424414201), we get a palindrome (1268568658621).

The spelling of 1024144244420 in words is "one trillion, twenty-four billion, one hundred forty-four million, two hundred forty-four thousand, four hundred twenty".