4109061600 has 648 divisors, whose sum is σ = 17771284440. Its totient is φ = 888330240.

The previous prime is 4109061599. The next prime is 4109061629. The reversal of 4109061600 is 61609014.

4109061600 is a `hidden beast` number, since 41 + 0 + 9 + 0 + 616 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 6702894 + ... + 6703506.

Almost surely, 2^4109061600 is an apocalyptic number.

4109061600 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 4109061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8885642220).

4109061600 is an abundant number, since it is smaller than the sum of its proper divisors (13662222840).

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

4109061600 is a wasteful number, since it uses less digits than its factorization.

4109061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 4109061600 is about 64101.9625284593. The cubic root of 4109061600 is about 1601.6989245627.

The spelling of 4109061600 in words is "four billion, one hundred nine million, sixty-one thousand, six hundred".