2024121044440 has 64 divisors (see below), whose sum is σ = 5128564792320. Its totient is φ = 712300656000.

The previous prime is 2024121044437. The next prime is 2024121044443. The reversal of 2024121044440 is 444401214202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2024121044437) and next prime (2024121044443).

It is a junction number, because it is equal to n+sod(n) for n = 2024121044399 and 2024121044408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024121044443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74184346 + ... + 74211625.

It is an arithmetic number, because the mean of its divisors is an integer number (80133824880).

Almost surely, 2^{2024121044440} is an apocalyptic number.

2024121044440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024121044440 is an abundant number, since it is smaller than the sum of its proper divisors (3104443747880).

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

2024121044440 is a wasteful number, since it uses less digits than its factorization.

2024121044440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148396024 (or 148396020 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 2024121044440 its reverse (444401214202), we get a palindrome (2468522258642).

The spelling of 2024121044440 in words is "two trillion, twenty-four billion, one hundred twenty-one million, forty-four thousand, four hundred forty".