4100241600 has 1008 divisors, whose sum is σ = 18850356000. Its totient is φ = 859299840.

The previous prime is 4100241559. The next prime is 4100241641. The reversal of 4100241600 is 61420014.

4100241600 is a `hidden beast` number, since 41 + 0 + 0 + 24 + 1 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (4100241559) and next prime (4100241641).

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 27518326 + ... + 27518474.

It is an arithmetic number, because the mean of its divisors is an integer number (18700750).

Almost surely, 2^4100241600 is an apocalyptic number.

4100241600 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 4100241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9425178000).

4100241600 is an abundant number, since it is smaller than the sum of its proper divisors (14750114400).

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

4100241600 is a wasteful number, since it uses less digits than its factorization.

4100241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 4100241600 is about 64033.1289255804. The cubic root of 4100241600 is about 1600.5521011350.

Adding to 4100241600 its reverse (61420014), we get a palindrome (4161661614).

The spelling of 4100241600 in words is "four billion, one hundred million, two hundred forty-one thousand, six hundred".