4181685508000 has 768 divisors, whose sum is σ = 14271086269440. Its totient is φ = 1161603072000.

The previous prime is 4181685507953. The next prime is 4181685508001. The reversal of 4181685508000 is 8055861814.

It is not an unprimeable number, because it can be changed into a prime (4181685508001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 116097994 + ... + 116134006.

It is an arithmetic number, because the mean of its divisors is an integer number (18582143580).

Almost surely, 2^{4181685508000} is an apocalyptic number.

4181685508000 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 4181685508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7135543134720).

4181685508000 is an abundant number, since it is smaller than the sum of its proper divisors (10089400761440).

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

4181685508000 is a wasteful number, since it uses less digits than its factorization.

4181685508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36098 (or 36080 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 46.

The spelling of 4181685508000 in words is "four trillion, one hundred eighty-one billion, six hundred eighty-five million, five hundred eight thousand".