4102334208 has 144 divisors (see below), whose sum is σ = 13864533760. Its totient is φ = 1172081664.

The previous prime is 4102334183. The next prime is 4102334231. The reversal of 4102334208 is 8024332014.

4102334208 is a `hidden beast` number, since 4 + 1 + 0 + 233 + 420 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5991 + ... + 90777.

Almost surely, 2^4102334208 is an apocalyptic number.

4102334208 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 4102334208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932266880).

4102334208 is an abundant number, since it is smaller than the sum of its proper divisors (9762199552).

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

4102334208 is an equidigital number, since it uses as much as digits as its factorization.

4102334208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84819 (or 84799 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4102334208 is about 64049.4668830272. The cubic root of 4102334208 is about 1600.8243418815.

The spelling of 4102334208 in words is "four billion, one hundred two million, three hundred thirty-four thousand, two hundred eight".