1005444040500 has 144 divisors (see below), whose sum is σ = 3173281849920. Its totient is φ = 267996600000.

The previous prime is 1005444040477. The next prime is 1005444040511. The reversal of 1005444040500 is 50404445001.

1005444040500 is a `hidden beast` number, since 100 + 54 + 4 + 4 + 0 + 4 + 0 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10079871 + ... + 10179129.

Almost surely, 2^{1005444040500} is an apocalyptic number.

1005444040500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005444040500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1586640924960).

1005444040500 is an abundant number, since it is smaller than the sum of its proper divisors (2167837809420).

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

1005444040500 is a wasteful number, since it uses less digits than its factorization.

1005444040500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101535 (or 101520 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

Adding to 1005444040500 its reverse (50404445001), we get a palindrome (1055848485501).

The spelling of 1005444040500 in words is "one trillion, five billion, four hundred forty-four million, forty thousand, five hundred".