4048071920256 has 512 divisors, whose sum is σ = 13406507251200. Its totient is φ = 1053793714176.

The previous prime is 4048071920209. The next prime is 4048071920257. The reversal of 4048071920256 is 6520291708404.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (4048071920257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1014806710 + ... + 1014810698.

It is an arithmetic number, because the mean of its divisors is an integer number (26184584475).

Almost surely, 2^{4048071920256} 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 4048071920256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6703253625600).

4048071920256 is an abundant number, since it is smaller than the sum of its proper divisors (9358435330944).

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

4048071920256 is a wasteful number, since it uses less digits than its factorization.

4048071920256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4396 (or 4384 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 4048071920256 in words is "four trillion, forty-eight billion, seventy-one million, nine hundred twenty thousand, two hundred fifty-six".