4081617083544 has 768 divisors, whose sum is σ = 14726425190400. Its totient is φ = 913164595200.

The previous prime is 4081617083491. The next prime is 4081617083549. The reversal of 4081617083544 is 4453807161804.

4081617083544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4081617083549) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 294503287 + ... + 294517145.

It is an arithmetic number, because the mean of its divisors is an integer number (19175032800).

Almost surely, 2^{4081617083544} is an apocalyptic number.

4081617083544 is a gapful number since it is divisible by the number (44) 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 4081617083544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363212595200).

4081617083544 is an abundant number, since it is smaller than the sum of its proper divisors (10644808106856).

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

4081617083544 is a wasteful number, since it uses less digits than its factorization.

4081617083544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13976 (or 13959 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 51.

The spelling of 4081617083544 in words is "four trillion, eighty-one billion, six hundred seventeen million, eighty-three thousand, five hundred forty-four".