3009232813440 has 1536 divisors, whose sum is σ = 12155572592640. Its totient is φ = 629471969280.

The previous prime is 3009232813397. The next prime is 3009232813441. The reversal of 3009232813440 is 443182329003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3009232813441) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 7579931322 + ... + 7579931718.

It is an arithmetic number, because the mean of its divisors is an integer number (7913784240).

Almost surely, 2^{3009232813440} is an apocalyptic number.

3009232813440 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 3009232813440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6077786296320).

3009232813440 is an abundant number, since it is smaller than the sum of its proper divisors (9146339779200).

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

3009232813440 is a wasteful number, since it uses less digits than its factorization.

3009232813440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 3009232813440 in words is "three trillion, nine billion, two hundred thirty-two million, eight hundred thirteen thousand, four hundred forty".