1002089541024 has 720 divisors, whose sum is σ = 3428026940520. Its totient is φ = 275996160000.

The previous prime is 1002089540981. The next prime is 1002089541031. The reversal of 1002089541024 is 4201459802001.

1002089541024 is a `hidden beast` number, since 10 + 0 + 2 + 0 + 89 + 541 + 0 + 24 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 649410339600 + 352679201424 = 805860^2 + 593868^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1002089541024.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5536406214 + ... + 5536406394.

Almost surely, 2^{1002089541024} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002089541024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714013470260).

1002089541024 is an abundant number, since it is smaller than the sum of its proper divisors (2425937399496).

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

1002089541024 is a wasteful number, since it uses less digits than its factorization.

1002089541024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 1002089541024 in words is "one trillion, two billion, eighty-nine million, five hundred forty-one thousand, twenty-four".