4103165952 has 288 divisors, whose sum is σ = 12592419840. Its totient is φ = 1285079040.

The previous prime is 4103165947. The next prime is 4103165953. The reversal of 4103165952 is 2595613014.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4103165953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24569773 + ... + 24569939.

It is an arithmetic number, because the mean of its divisors is an integer number (43723680).

Almost surely, 2^4103165952 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 4103165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6296209920).

4103165952 is an abundant number, since it is smaller than the sum of its proper divisors (8489253888).

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

4103165952 is a wasteful number, since it uses less digits than its factorization.

4103165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 4103165952 is about 64055.9595353937. The cubic root of 4103165952 is about 1600.9325230615.

Adding to 4103165952 its reverse (2595613014), we get a palindrome (6698778966).

The spelling of 4103165952 in words is "four billion, one hundred three million, one hundred sixty-five thousand, nine hundred fifty-two".