4020459895296 has 640 divisors, whose sum is σ = 13515797433600. Its totient is φ = 1169789091840.

The previous prime is 4020459895279. The next prime is 4020459895349. The reversal of 4020459895296 is 6925989540204.

4020459895296 is a `hidden beast` number, since 4 + 0 + 2 + 0 + 459 + 8 + 95 + 2 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3404283826 + ... + 3404285006.

It is an arithmetic number, because the mean of its divisors is an integer number (21118433490).

Almost surely, 2^{4020459895296} 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 4020459895296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757898716800).

4020459895296 is an abundant number, since it is smaller than the sum of its proper divisors (9495337538304).

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

4020459895296 is a wasteful number, since it uses less digits than its factorization.

4020459895296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 4020459895296 in words is "four trillion, twenty billion, four hundred fifty-nine million, eight hundred ninety-five thousand, two hundred ninety-six".