4065197136 has 640 divisors, whose sum is σ = 15292354560. Its totient is φ = 895795200.

The previous prime is 4065197113. The next prime is 4065197137. The reversal of 4065197136 is 6317915604.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065197137) 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 127 ways as a sum of consecutive naturals, for example, 55687596 + ... + 55687668.

It is an arithmetic number, because the mean of its divisors is an integer number (23894304).

Almost surely, 2^4065197136 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 4065197136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7646177280).

4065197136 is an abundant number, since it is smaller than the sum of its proper divisors (11227157424).

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

4065197136 is a wasteful number, since it uses less digits than its factorization.

4065197136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 4065197136 is about 63758.8984848390. The cubic root of 4065197136 is about 1595.9791141795.

The spelling of 4065197136 in words is "four billion, sixty-five million, one hundred ninety-seven thousand, one hundred thirty-six".