1024411341120 has 224 divisors, whose sum is σ = 3262899459456. Its totient is φ = 272305152000.

The previous prime is 1024411341113. The next prime is 1024411341137. The reversal of 1024411341120 is 211431144201.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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, 545769622 + ... + 545771498.

It is an arithmetic number, because the mean of its divisors is an integer number (14566515444).

Almost surely, 2^{1024411341120} is an apocalyptic number.

1024411341120 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 1024411341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631449729728).

1024411341120 is an abundant number, since it is smaller than the sum of its proper divisors (2238488118336).

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

1024411341120 is a wasteful number, since it uses less digits than its factorization.

1024411341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3399 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 1024411341120 its reverse (211431144201), we get a palindrome (1235842485321).

The spelling of 1024411341120 in words is "one trillion, twenty-four billion, four hundred eleven million, three hundred forty-one thousand, one hundred twenty".