4183085106000 has 2240 divisors, whose sum is σ = 17049708748800. Its totient is φ = 987614208000.

The previous prime is 4183085105977. The next prime is 4183085106007. The reversal of 4183085106000 is 6015803814.

4183085106000 is a `hidden beast` number, since 4 + 1 + 8 + 30 + 8 + 5 + 10 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4183085106007) by changing a digit.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 32937677937 + ... + 32937678063.

It is an arithmetic number, because the mean of its divisors is an integer number (7611477120).

Almost surely, 2^{4183085106000} is an apocalyptic number.

4183085106000 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 4183085106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8524854374400).

4183085106000 is an abundant number, since it is smaller than the sum of its proper divisors (12866623642800).

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

4183085106000 is a wasteful number, since it uses less digits than its factorization.

4183085106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 4183085106000 in words is "four trillion, one hundred eighty-three billion, eighty-five million, one hundred six thousand".