4117049095120 has 160 divisors (see below), whose sum is σ = 10853474083200. Its totient is φ = 1439806482432.

The previous prime is 4117049095021. The next prime is 4117049095121. The reversal of 4117049095120 is 215909407114.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4117049095121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96980619 + ... + 97023061.

It is an arithmetic number, because the mean of its divisors is an integer number (67834213020).

Almost surely, 2^{4117049095120} is an apocalyptic number.

4117049095120 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 4117049095120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426737041600).

4117049095120 is an abundant number, since it is smaller than the sum of its proper divisors (6736424988080).

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

4117049095120 is a wasteful number, since it uses less digits than its factorization.

4117049095120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47397 (or 47391 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 43.

The spelling of 4117049095120 in words is "four trillion, one hundred seventeen billion, forty-nine million, ninety-five thousand, one hundred twenty".