4115561436672 has 240 divisors, whose sum is σ = 13504421755440. Its totient is φ = 1106705252352.

The previous prime is 4115561436659. The next prime is 4115561436683. The reversal of 4115561436672 is 2766341655114.

4115561436672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 328797 + ... + 2887772.

It is an arithmetic number, because the mean of its divisors is an integer number (56268423981).

Almost surely, 2^{4115561436672} is an apocalyptic number.

4115561436672 is a gapful number since it is divisible by the number (42) 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 4115561436672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6752210877720).

4115561436672 is an abundant number, since it is smaller than the sum of its proper divisors (9388860318768).

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

4115561436672 is a wasteful number, since it uses less digits than its factorization.

4115561436672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3216621 (or 3216598 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The spelling of 4115561436672 in words is "four trillion, one hundred fifteen billion, five hundred sixty-one million, four hundred thirty-six thousand, six hundred seventy-two".