4181840988768 has 84 divisors (see below), whose sum is σ = 12343852462788. Its totient is φ = 1393946988480.

The previous prime is 4181840988763. The next prime is 4181840988769. The reversal of 4181840988768 is 8678890481814.

4181840988768 is a `hidden beast` number, since 4 + 1 + 81 + 8 + 409 + 8 + 87 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 4181840988696 and 4181840988705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4181840988763) 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 13 ways as a sum of consecutive naturals, for example, 89608038 + ... + 89654693.

It is an arithmetic number, because the mean of its divisors is an integer number (146950624557).

Almost surely, 2^{4181840988768} is an apocalyptic number.

4181840988768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4181840988768 is an abundant number, since it is smaller than the sum of its proper divisors (8162011474020).

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

4181840988768 is an equidigital number, since it uses as much as digits as its factorization.

4181840988768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179262759 (or 179262736 counting only the distinct ones).

The product of its (nonzero) digits is 198180864, while the sum is 72.

The spelling of 4181840988768 in words is "four trillion, one hundred eighty-one billion, eight hundred forty million, nine hundred eighty-eight thousand, seven hundred sixty-eight".