1001000009984 has 72 divisors (see below), whose sum is σ = 2170832280792. Its totient is φ = 457911336960.

The previous prime is 1001000009983. The next prime is 1001000010001. The reversal of 1001000009984 is 4899000001001.

It can be written as a sum of positive squares in 4 ways, for example, as 9525760000 + 991474249984 = 97600^2 + 995728^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 1001000009984.

It is not an unprimeable number, because it can be changed into a prime (1001000009983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954827 + ... + 1706954.

Almost surely, 2^{1001000009984} is an apocalyptic number.

It is an amenable number.

1001000009984 is an abundant number, since it is smaller than the sum of its proper divisors (1169832270808).

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

1001000009984 is a wasteful number, since it uses less digits than its factorization.

1001000009984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2661923 (or 2661909 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 32.

The spelling of 1001000009984 in words is "one trillion, one billion, nine thousand, nine hundred eighty-four".