4117081198080 has 160 divisors (see below), whose sum is σ = 13163797177344. Its totient is φ = 1097721225216.

The previous prime is 4117081198063. The next prime is 4117081198141. The reversal of 4117081198080 is 808911807114.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55312569 + ... + 55386951.

Almost surely, 2^{4117081198080} is an apocalyptic number.

4117081198080 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 4117081198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581898588672).

4117081198080 is an abundant number, since it is smaller than the sum of its proper divisors (9046715979264).

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

4117081198080 is an equidigital number, since it uses as much as digits as its factorization.

4117081198080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81616 (or 81600 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 48.

The spelling of 4117081198080 in words is "four trillion, one hundred seventeen billion, eighty-one million, one hundred ninety-eight thousand, eighty".