1006003247424 has 112 divisors (see below), whose sum is σ = 3042192316416. Its totient is φ = 287407756800.

The previous prime is 1006003247407. The next prime is 1006003247453. The reversal of 1006003247424 is 4247423006001.

1006003247424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 28247869 + ... + 28283459.

Almost surely, 2^{1006003247424} is an apocalyptic number.

1006003247424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1006003247424 is an abundant number, since it is smaller than the sum of its proper divisors (2036189068992).

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

1006003247424 is a wasteful number, since it uses less digits than its factorization.

1006003247424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56644 (or 56634 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The spelling of 1006003247424 in words is "one trillion, six billion, three million, two hundred forty-seven thousand, four hundred twenty-four".