4065744900 has 288 divisors, whose sum is σ = 14066599680. Its totient is φ = 887040000.

The previous prime is 4065744877. The next prime is 4065744911. The reversal of 4065744900 is 94475604.

It is a happy number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6150570 + ... + 6151230.

It is an arithmetic number, because the mean of its divisors is an integer number (48842360).

Almost surely, 2^4065744900 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 4065744900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7033299840).

4065744900 is an abundant number, since it is smaller than the sum of its proper divisors (10000854780).

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

4065744900 is a wasteful number, since it uses less digits than its factorization.

4065744900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4065744900 is about 63763.1939287862. The cubic root of 4065744900 is about 1596.0507942327.

The spelling of 4065744900 in words is "four billion, sixty-five million, seven hundred forty-four thousand, nine hundred".