844484004040 has 16 divisors (see below), whose sum is σ = 1900089009180. Its totient is φ = 337793601600.

The previous prime is 844484004031. The next prime is 844484004041. The reversal of 844484004040 is 40400484448.

It can be written as a sum of positive squares in 2 ways, for example, as 805538560324 + 38945443716 = 897518^2 + 197346^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 21112100101 = 844484004040 / (8 + 4 + 4 + 4 + 8 + 4 + 0 + 0 + 4 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 844484003984 and 844484004002.

It is not an unprimeable number, because it can be changed into a prime (844484004041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10556050011 + ... + 10556050090.

Almost surely, 2^844484004040 is an apocalyptic number.

It is an amenable number.

844484004040 is an abundant number, since it is smaller than the sum of its proper divisors (1055605005140).

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

844484004040 is a wasteful number, since it uses less digits than its factorization.

844484004040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21112100112 (or 21112100108 counting only the distinct ones).

The product of its (nonzero) digits is 262144, while the sum is 40.

Adding to 844484004040 its reverse (40400484448), we get a palindrome (884884488488).

The spelling of 844484004040 in words is "eight hundred forty-four billion, four hundred eighty-four million, four thousand, forty".