4100082336 has 144 divisors (see below), whose sum is σ = 13635445824. Its totient is φ = 1144184832.

The previous prime is 4100082331. The next prime is 4100082341. The reversal of 4100082336 is 6332800014.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4100082331) and next prime (4100082341).

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

It is not an unprimeable number, because it can be changed into a prime (4100082331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63040 + ... + 110336.

It is an arithmetic number, because the mean of its divisors is an integer number (94690596).

Almost surely, 2^4100082336 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 4100082336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817722912).

4100082336 is an abundant number, since it is smaller than the sum of its proper divisors (9535363488).

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

4100082336 is a wasteful number, since it uses less digits than its factorization.

4100082336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47363 (or 47352 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 4100082336 is about 64031.8853072436. The cubic root of 4100082336 is about 1600.5313776707.

The spelling of 4100082336 in words is "four billion, one hundred million, eighty-two thousand, three hundred thirty-six".