4033456480768 has 320 divisors, whose sum is σ = 9676234681344. Its totient is φ = 1655506944000.

The previous prime is 4033456480763. The next prime is 4033456480777. The reversal of 4033456480768 is 8670846543304.

It is not an unprimeable number, because it can be changed into a prime (4033456480763) 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 31 ways as a sum of consecutive naturals, for example, 680979055 + ... + 680984977.

Almost surely, 2^{4033456480768} 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 4033456480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838117340672).

4033456480768 is an abundant number, since it is smaller than the sum of its proper divisors (5642778200576).

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

4033456480768 is a wasteful number, since it uses less digits than its factorization.

4033456480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6151 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 58.

The spelling of 4033456480768 in words is "four trillion, thirty-three billion, four hundred fifty-six million, four hundred eighty thousand, seven hundred sixty-eight".