1002804432840 has 320 divisors, whose sum is σ = 3853254873600. Its totient is φ = 229140306432.

The previous prime is 1002804432827. The next prime is 1002804432853. The reversal of 1002804432840 is 482344082001.

1002804432840 is a `hidden beast` number, since 10 + 0 + 280 + 4 + 4 + 328 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (1002804432827) and next prime (1002804432853).

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

It is a junction number, because it is equal to n+sod(n) for n = 1002804432795 and 1002804432804.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 111331617 + ... + 111340623.

It is an arithmetic number, because the mean of its divisors is an integer number (12041421480).

Almost surely, 2^{1002804432840} is an apocalyptic number.

1002804432840 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 1002804432840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1926627436800).

1002804432840 is an abundant number, since it is smaller than the sum of its proper divisors (2850450440760).

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

1002804432840 is a wasteful number, since it uses less digits than its factorization.

1002804432840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13946 (or 13933 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 1002804432840 in words is "one trillion, two billion, eight hundred four million, four hundred thirty-two thousand, eight hundred forty".