4101006076 has 48 divisors (see below), whose sum is σ = 7559516160. Its totient is φ = 1942930880.

The previous prime is 4101006073. The next prime is 4101006097. The reversal of 4101006076 is 6706001014.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4101006076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101006071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7362390 + ... + 7362946.

It is an arithmetic number, because the mean of its divisors is an integer number (157489920).

Almost surely, 2^4101006076 is an apocalyptic number.

4101006076 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4101006076 is a deficient number, since it is larger than the sum of its proper divisors (3458510084).

4101006076 is a wasteful number, since it uses less digits than its factorization.

4101006076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 4101006076 is about 64039.0980261278. The cubic root of 4101006076 is about 1600.6515674389.

The spelling of 4101006076 in words is "four billion, one hundred one million, six thousand, seventy-six".