3040155145664 has 448 divisors, whose sum is σ = 7716599654400. Its totient is φ = 1156464967680.

The previous prime is 3040155145631. The next prime is 3040155145733. The reversal of 3040155145664 is 4665415510403.

3040155145664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6509967959 + ... + 6509968425.

It is an arithmetic number, because the mean of its divisors is an integer number (17224552800).

Almost surely, 2^{3040155145664} 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 3040155145664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3858299827200).

3040155145664 is an abundant number, since it is smaller than the sum of its proper divisors (4676444508736).

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

3040155145664 is a wasteful number, since it uses less digits than its factorization.

3040155145664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876 (or 866 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 44.

The spelling of 3040155145664 in words is "three trillion, forty billion, one hundred fifty-five million, one hundred forty-five thousand, six hundred sixty-four".