3011320042440 has 128 divisors (see below), whose sum is σ = 9130404447360. Its totient is φ = 794451861504.

The previous prime is 3011320042439. The next prime is 3011320042481. The reversal of 3011320042440 is 442400231103.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3011320042440.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 33047022 + ... + 33138018.

It is an arithmetic number, because the mean of its divisors is an integer number (71331284745).

Almost surely, 2^{3011320042440} is an apocalyptic number.

3011320042440 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 3011320042440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565202223680).

3011320042440 is an abundant number, since it is smaller than the sum of its proper divisors (6119084404920).

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

3011320042440 is a wasteful number, since it uses less digits than its factorization.

3011320042440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93951 (or 93947 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3011320042440 its reverse (442400231103), we get a palindrome (3453720273543).

The spelling of 3011320042440 in words is "three trillion, eleven billion, three hundred twenty million, forty-two thousand, four hundred forty".