4104165888 has 320 divisors, whose sum is σ = 12827274240. Its totient is φ = 1293926400.

The previous prime is 4104165883. The next prime is 4104165953. The reversal of 4104165888 is 8885614014.

It is not an unprimeable number, because it can be changed into a prime (4104165883) 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 31 ways as a sum of consecutive naturals, for example, 26141106 + ... + 26141262.

It is an arithmetic number, because the mean of its divisors is an integer number (40085232).

Almost surely, 2^4104165888 is an apocalyptic number.

4104165888 is a gapful number since it is divisible by the number (48) 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 4104165888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6413637120).

4104165888 is an abundant number, since it is smaller than the sum of its proper divisors (8723108352).

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

4104165888 is a wasteful number, since it uses less digits than its factorization.

4104165888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The square root of 4104165888 is about 64063.7642353304. The cubic root of 4104165888 is about 1601.0625608632.

It can be divided in two parts, 41041 and 65888, that added together give a square (106929 = 327²).

The spelling of 4104165888 in words is "four billion, one hundred four million, one hundred sixty-five thousand, eight hundred eighty-eight".