3064616111440 has 320 divisors, whose sum is σ = 8094841896960. Its totient is φ = 1071255767040.

The previous prime is 3064616111339. The next prime is 3064616111443. The reversal of 3064616111440 is 441116164603.

It is a self number, because there is not a number n which added to its sum of digits gives 3064616111440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3064616111443) 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 63 ways as a sum of consecutive naturals, for example, 275614201 + ... + 275625319.

It is an arithmetic number, because the mean of its divisors is an integer number (25296380928).

Almost surely, 2^{3064616111440} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3064616111440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047420948480).

3064616111440 is an abundant number, since it is smaller than the sum of its proper divisors (5030225785520).

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

3064616111440 is a wasteful number, since it uses less digits than its factorization.

3064616111440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11356 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The spelling of 3064616111440 in words is "three trillion, sixty-four billion, six hundred sixteen million, one hundred eleven thousand, four hundred forty".