4140512816 has 80 divisors (see below), whose sum is σ = 9074419200. Its totient is φ = 1812921600.

The previous prime is 4140512807. The next prime is 4140512821. The reversal of 4140512816 is 6182150414.

It is an unprimeable number.

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, 3362921 + ... + 3364151.

It is an arithmetic number, because the mean of its divisors is an integer number (113430240).

Almost surely, 2^4140512816 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 4140512816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4537209600).

4140512816 is an abundant number, since it is smaller than the sum of its proper divisors (4933906384).

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

4140512816 is a wasteful number, since it uses less digits than its factorization.

4140512816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 4140512816 is about 64346.8166733988. The cubic root of 4140512816 is about 1605.7750698594.

The spelling of 4140512816 in words is "four billion, one hundred forty million, five hundred twelve thousand, eight hundred sixteen".