4111086097120 has 192 divisors, whose sum is σ = 10447800007680. Its totient is φ = 1523767154688.

The previous prime is 4111086097061. The next prime is 4111086097163. The reversal of 4111086097120 is 217906801114.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 247602739 + ... + 247619341.

It is an arithmetic number, because the mean of its divisors is an integer number (54415625040).

Almost surely, 2^{4111086097120} is an apocalyptic number.

4111086097120 is a gapful number since it is divisible by the number (40) 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 4111086097120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5223900003840).

4111086097120 is an abundant number, since it is smaller than the sum of its proper divisors (6336713910560).

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

4111086097120 is a wasteful number, since it uses less digits than its factorization.

4111086097120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18417 (or 18409 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 40.

The spelling of 4111086097120 in words is "four trillion, one hundred eleven billion, eighty-six million, ninety-seven thousand, one hundred twenty".