4382163357984 has 192 divisors, whose sum is σ = 13464448905600. Its totient is φ = 1382767386624.

The previous prime is 4382163357983. The next prime is 4382163357991. The reversal of 4382163357984 is 4897533612834.

It is a happy number.

4382163357984 is a `hidden beast` number, since 4 + 3 + 8 + 21 + 6 + 33 + 579 + 8 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (4382163357983) 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, 21188644 + ... + 21394460.

It is an arithmetic number, because the mean of its divisors is an integer number (70127338050).

Almost surely, 2^{4382163357984} 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 4382163357984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6732224452800).

4382163357984 is an abundant number, since it is smaller than the sum of its proper divisors (9082285547616).

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

4382163357984 is a wasteful number, since it uses less digits than its factorization.

4382163357984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207152 (or 207138 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 63.

The spelling of 4382163357984 in words is "four trillion, three hundred eighty-two billion, one hundred sixty-three million, three hundred fifty-seven thousand, nine hundred eighty-four".