4117875912840 has 128 divisors (see below), whose sum is σ = 12709765618560. Its totient is φ = 1066892580864.

The previous prime is 4117875912833. The next prime is 4117875912847. The reversal of 4117875912840 is 482195787114.

4117875912840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4117875912833) and next prime (4117875912847).

It is a super-3 number, since 3×4117875912840³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4117875912847) 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, 2921119 + ... + 4094958.

It is an arithmetic number, because the mean of its divisors is an integer number (99295043895).

Almost surely, 2^{4117875912840} is an apocalyptic number.

4117875912840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4117875912840 is an abundant number, since it is smaller than the sum of its proper divisors (8591889705720).

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

4117875912840 is a wasteful number, since it uses less digits than its factorization.

4117875912840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7016231 (or 7016227 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 4117875912840 in words is "four trillion, one hundred seventeen billion, eight hundred seventy-five million, nine hundred twelve thousand, eight hundred forty".