4002483456608 has 768 divisors, whose sum is σ = 10809114624000. Its totient is φ = 1414908518400.

The previous prime is 4002483456583. The next prime is 4002483456641. The reversal of 4002483456608 is 8066543842004.

4002483456608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14769311513 + ... + 14769311783.

It is an arithmetic number, because the mean of its divisors is an integer number (14074368000).

Almost surely, 2^{4002483456608} 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 4002483456608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5404557312000).

4002483456608 is an abundant number, since it is smaller than the sum of its proper divisors (6806631167392).

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

4002483456608 is a wasteful number, since it uses less digits than its factorization.

4002483456608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 50.

The spelling of 4002483456608 in words is "four trillion, two billion, four hundred eighty-three million, four hundred fifty-six thousand, six hundred eight".