1006444010004 has 48 divisors (see below), whose sum is σ = 2380185679872. Its totient is φ = 330960919392.

The previous prime is 1006444009951. The next prime is 1006444010029. The reversal of 1006444010004 is 4000104446001.

1006444010004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222984 + ... + 1873119.

It is an arithmetic number, because the mean of its divisors is an integer number (49587201664).

Almost surely, 2^{1006444010004} is an apocalyptic number.

It is an amenable number.

1006444010004 is an abundant number, since it is smaller than the sum of its proper divisors (1373741669868).

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

1006444010004 is a wasteful number, since it uses less digits than its factorization.

1006444010004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3096476 (or 3096474 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 1006444010004 its reverse (4000104446001), we get a palindrome (5006548456005).

The spelling of 1006444010004 in words is "one trillion, six billion, four hundred forty-four million, ten thousand, four".