444000804840 has 48 divisors (see below), whose sum is σ = 1443002616900. Its totient is φ = 118400214528.

The previous prime is 444000804839. The next prime is 444000804917. The reversal of 444000804840 is 48408000444.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 404732626596 + 39268178244 = 636186^2 + 198162^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 444000804795 and 444000804804.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 616667425 + ... + 616668144.

Almost surely, 2^444000804840 is an apocalyptic number.

444000804840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

444000804840 is an abundant number, since it is smaller than the sum of its proper divisors (999001812060).

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

444000804840 is a wasteful number, since it uses less digits than its factorization.

444000804840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1233335586 (or 1233335579 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 36.

The spelling of 444000804840 in words is "four hundred forty-four billion, eight hundred four thousand, eight hundred forty".