8400442084 has 24 divisors (see below), whose sum is σ = 15708341880. Its totient is φ = 3916878336.

The previous prime is 8400442081. The next prime is 8400442087. The reversal of 8400442084 is 4802440048.

It is an interprime number because it is at equal distance from previous prime (8400442081) and next prime (8400442087).

It can be written as a sum of positive squares in 4 ways, for example, as 3119222500 + 5281219584 = 55850^2 + 72672^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (8400442081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559267 + ... + 574090.

It is an arithmetic number, because the mean of its divisors is an integer number (654514245).

Almost surely, 2^8400442084 is an apocalyptic number.

It is an amenable number.

8400442084 is a deficient number, since it is larger than the sum of its proper divisors (7307899796).

8400442084 is a wasteful number, since it uses less digits than its factorization.

8400442084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133487 (or 1133485 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 34.

The square root of 8400442084 is about 91653.9256333301. The cubic root of 8400442084 is about 2032.8283743190.

The spelling of 8400442084 in words is "eight billion, four hundred million, four hundred forty-two thousand, eighty-four".