1004505641199 has 64 divisors (see below), whose sum is σ = 1576467763200. Its totient is φ = 630856512000.

The previous prime is 1004505641137. The next prime is 1004505641203. The reversal of 1004505641199 is 9911465054001.

1004505641199 is a `hidden beast` number, since 1 + 0 + 0 + 450 + 5 + 6 + 4 + 1 + 199 = 666.

It is not a de Polignac number, because 1004505641199 - 2⁷ = 1004505641071 is a prime.

It is a super-2 number, since 2×1004505641199² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004505641129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19647129 + ... + 19698189.

It is an arithmetic number, because the mean of its divisors is an integer number (24632308800).

Almost surely, 2^{1004505641199} is an apocalyptic number.

1004505641199 is a deficient number, since it is larger than the sum of its proper divisors (571962122001).

1004505641199 is a wasteful number, since it uses less digits than its factorization.

1004505641199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51573 (or 51567 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 1004505641199 in words is "one trillion, four billion, five hundred five million, six hundred forty-one thousand, one hundred ninety-nine".