4414160686100 has 144 divisors (see below), whose sum is σ = 10587524980032. Its totient is φ = 1584086400000.

The previous prime is 4414160686081. The next prime is 4414160686121. The reversal of 4414160686100 is 16860614144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25997480 + ... + 26166720.

It is an arithmetic number, because the mean of its divisors is an integer number (73524479028).

Almost surely, 2^{4414160686100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4414160686100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5293762490016).

4414160686100 is an abundant number, since it is smaller than the sum of its proper divisors (6173364293932).

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

4414160686100 is a wasteful number, since it uses less digits than its factorization.

4414160686100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169578 (or 169571 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 41.

The spelling of 4414160686100 in words is "four trillion, four hundred fourteen billion, one hundred sixty million, six hundred eighty-six thousand, one hundred".