1004042173680 has 960 divisors, whose sum is σ = 4384879349760. Its totient is φ = 200167317504.

The previous prime is 1004042173643. The next prime is 1004042173747. The reversal of 1004042173680 is 863712404001.

1004042173680 is a `hidden beast` number, since 1 + 0 + 0 + 404 + 2 + 173 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 89298139 + ... + 89309381.

It is an arithmetic number, because the mean of its divisors is an integer number (4567582656).

Almost surely, 2^{1004042173680} is an apocalyptic number.

1004042173680 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 1004042173680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192439674880).

1004042173680 is an abundant number, since it is smaller than the sum of its proper divisors (3380837176080).

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

1004042173680 is a wasteful number, since it uses less digits than its factorization.

1004042173680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11358 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 1004042173680 its reverse (863712404001), we get a palindrome (1867754577681).

The spelling of 1004042173680 in words is "one trillion, four billion, forty-two million, one hundred seventy-three thousand, six hundred eighty".