3004242421440 has 448 divisors, whose sum is σ = 10774367299584. Its totient is φ = 704205176832.

The previous prime is 3004242421423. The next prime is 3004242421483. The reversal of 3004242421440 is 441242424003.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3004242421398 and 3004242421407.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 21633507 + ... + 21771933.

It is an arithmetic number, because the mean of its divisors is an integer number (24049927008).

Almost surely, 2^{3004242421440} is an apocalyptic number.

3004242421440 is a gapful number since it is divisible by the number (30) 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 3004242421440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5387183649792).

3004242421440 is an abundant number, since it is smaller than the sum of its proper divisors (7770124878144).

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

3004242421440 is a wasteful number, since it uses less digits than its factorization.

3004242421440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138544 (or 138534 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 3004242421440 its reverse (441242424003), we get a palindrome (3445484845443).

The spelling of 3004242421440 in words is "three trillion, four billion, two hundred forty-two million, four hundred twenty-one thousand, four hundred forty".