3001034113440 has 96 divisors (see below), whose sum is σ = 10312644517056. Its totient is φ = 727523420160.

The previous prime is 3001034113439. The next prime is 3001034113447. The reversal of 3001034113440 is 443114301003.

It is a tau number, because it is divible by the number of its divisors (96).

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 3001034113440.

It is not an unprimeable number, because it can be changed into a prime (3001034113447) 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, 284183557 + ... + 284194116.

It is an arithmetic number, because the mean of its divisors is an integer number (107423380386).

Almost surely, 2^{3001034113440} is an apocalyptic number.

3001034113440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3001034113440 is an abundant number, since it is smaller than the sum of its proper divisors (7311610403616).

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

3001034113440 is a wasteful number, since it uses less digits than its factorization.

3001034113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568377702 (or 568377694 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3001034113440 its reverse (443114301003), we get a palindrome (3444148414443).

The spelling of 3001034113440 in words is "three trillion, one billion, thirty-four million, one hundred thirteen thousand, four hundred forty".