4005435818496 has 320 divisors, whose sum is σ = 12341078120448. Its totient is φ = 1130752770048.

The previous prime is 4005435818393. The next prime is 4005435818521. The reversal of 4005435818496 is 6948185345004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712327941 + ... + 712333563.

Almost surely, 2^{4005435818496} 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 4005435818496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170539060224).

4005435818496 is an abundant number, since it is smaller than the sum of its proper divisors (8335642301952).

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

4005435818496 is an equidigital number, since it uses as much as digits as its factorization.

4005435818496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6431 (or 6415 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 4005435818496 in words is "four trillion, five billion, four hundred thirty-five million, eight hundred eighteen thousand, four hundred ninety-six".