4109037660 has 672 divisors, whose sum is σ = 16864028160. Its totient is φ = 816293376.

The previous prime is 4109037659. The next prime is 4109037697. The reversal of 4109037660 is 667309014.

It is a super-3 number, since 3×4109037660³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 25208739 + ... + 25208901.

It is an arithmetic number, because the mean of its divisors is an integer number (25095280).

Almost surely, 2^4109037660 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 4109037660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8432014080).

4109037660 is an abundant number, since it is smaller than the sum of its proper divisors (12754990500).

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

4109037660 is a wasteful number, since it uses less digits than its factorization.

4109037660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 4109037660 is about 64101.7757944349. The cubic root of 4109037660 is about 1601.6958139785.

The spelling of 4109037660 in words is "four billion, one hundred nine million, thirty-seven thousand, six hundred sixty".