4065264126 has 224 divisors, whose sum is σ = 11647008000. Its totient is φ = 1054483920.

The previous prime is 4065264121. The next prime is 4065264127. The reversal of 4065264126 is 6214625604.

4065264126 is a `hidden beast` number, since 4 + 0 + 6 + 5 + 2 + 641 + 2 + 6 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065264121) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5500665 + ... + 5501403.

Almost surely, 2^4065264126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4065264126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5823504000).

4065264126 is an abundant number, since it is smaller than the sum of its proper divisors (7581743874).

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

4065264126 is an equidigital number, since it uses as much as digits as its factorization.

4065264126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4065264126 is about 63759.4238211106. The cubic root of 4065264126 is about 1595.9878807944.

The spelling of 4065264126 in words is "four billion, sixty-five million, two hundred sixty-four thousand, one hundred twenty-six".