1006085813424 has 40 divisors (see below), whose sum is σ = 2688677608560. Its totient is φ = 323797732608.

The previous prime is 1006085813401. The next prime is 1006085813479. The reversal of 1006085813424 is 4243185806001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 361380007 + ... + 361382790.

It is an arithmetic number, because the mean of its divisors is an integer number (67216940214).

Almost surely, 2^{1006085813424} is an apocalyptic number.

It is an amenable number.

1006085813424 is an abundant number, since it is smaller than the sum of its proper divisors (1682591795136).

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

1006085813424 is a wasteful number, since it uses less digits than its factorization.

1006085813424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722762837 (or 722762831 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The spelling of 1006085813424 in words is "one trillion, six billion, eighty-five million, eight hundred thirteen thousand, four hundred twenty-four".