1002000032000 has 432 divisors, whose sum is σ = 2757257822592. Its totient is φ = 362560000000.

The previous prime is 1002000031973. The next prime is 1002000032017. The reversal of 1002000032000 is 2300002001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971871485 + ... + 971872515.

It is an arithmetic number, because the mean of its divisors is an integer number (6382541256).

Almost surely, 2^{1002000032000} is an apocalyptic number.

1002000032000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002000032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378628911296).

1002000032000 is an abundant number, since it is smaller than the sum of its proper divisors (1755257790592).

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

1002000032000 is a wasteful number, since it uses less digits than its factorization.

1002000032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1335 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

Adding to 1002000032000 its reverse (2300002001), we get a palindrome (1004300034001).

Subtracting from 1002000032000 its reverse (2300002001), we obtain a cube (999700029999 = 9999³).

The spelling of 1002000032000 in words is "one trillion, two billion, thirty-two thousand".