4101125892318 has 288 divisors, whose sum is σ = 11215840970880. Its totient is φ = 1073464842240.

The previous prime is 4101125892277. The next prime is 4101125892343. The reversal of 4101125892318 is 8132985211014.

4101125892318 is a `hidden beast` number, since 41 + 0 + 1 + 1 + 2 + 589 + 23 + 1 + 8 = 666.

It is a super-3 number, since 3×4101125892318³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 868696198 + ... + 868700918.

It is an arithmetic number, because the mean of its divisors is an integer number (38943892260).

Almost surely, 2^{4101125892318} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4101125892318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5607920485440).

4101125892318 is an abundant number, since it is smaller than the sum of its proper divisors (7114715078562).

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

4101125892318 is a wasteful number, since it uses less digits than its factorization.

4101125892318 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 4101125892318 in words is "four trillion, one hundred one billion, one hundred twenty-five million, eight hundred ninety-two thousand, three hundred eighteen".