4133975616 has 315 divisors, whose sum is σ = 13214344539. Its totient is φ = 1277690112.

The previous prime is 4133975611. The next prime is 4133975641. The reversal of 4133975616 is 6165793314.

It is a happy number.

The square root of 4133975616 is 64296.

It is a perfect power (a square), and thus also a powerful number.

It is not an unprimeable number, because it can be changed into a prime (4133975611) 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 44 ways as a sum of consecutive naturals, for example, 87956905 + ... + 87956951.

Almost surely, 2^4133975616 is an apocalyptic number.

4133975616 is the 64296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4133975616

4133975616 is an abundant number, since it is smaller than the sum of its proper divisors (9080368923).

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

4133975616 is an equidigital number, since it uses as much as digits as its factorization.

4133975616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 71 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The cubic root of 4133975616 is about 1604.9295383514.

The spelling of 4133975616 in words is "four billion, one hundred thirty-three million, nine hundred seventy-five thousand, six hundred sixteen".