4109840265672 has 288 divisors, whose sum is σ = 11675686365720. Its totient is φ = 1356099563520.

The previous prime is 4109840265667. The next prime is 4109840265677. The reversal of 4109840265672 is 2765620489014.

4109840265672 is a `hidden beast` number, since 4 + 10 + 9 + 8 + 40 + 26 + 567 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4109840265667) and next prime (4109840265677).

It can be written as a sum of positive squares in 4 ways, for example, as 2911616671716 + 1198223593956 = 1706346^2 + 1094634^2 .

It is a super-3 number, since 3×4109840265672³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4109840265677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3746435428 + ... + 3746436524.

Almost surely, 2^{4109840265672} 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 4109840265672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5837843182860).

4109840265672 is an abundant number, since it is smaller than the sum of its proper divisors (7565846100048).

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

4109840265672 is a wasteful number, since it uses less digits than its factorization.

4109840265672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1785 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 4109840265672 in words is "four trillion, one hundred nine billion, eight hundred forty million, two hundred sixty-five thousand, six hundred seventy-two".