1004034430206 has 64 divisors (see below), whose sum is σ = 2305253744640. Its totient is φ = 323587841760.

The previous prime is 1004034430183. The next prime is 1004034430219. The reversal of 1004034430206 is 6020344304001.

1004034430206 is a `hidden beast` number, since 10 + 0 + 4 + 0 + 3 + 443 + 0 + 206 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1004034430206.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1574536 + ... + 2118308.

It is an arithmetic number, because the mean of its divisors is an integer number (36019589760).

Almost surely, 2^{1004034430206} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004034430206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152626872320).

1004034430206 is an abundant number, since it is smaller than the sum of its proper divisors (1301219314434).

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

1004034430206 is a wasteful number, since it uses less digits than its factorization.

1004034430206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544918 (or 544912 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 1004034430206 its reverse (6020344304001), we get a palindrome (7024378734207).

The spelling of 1004034430206 in words is "one trillion, four billion, thirty-four million, four hundred thirty thousand, two hundred six".