1004935041792 has 216 divisors, whose sum is σ = 3298313910528. Its totient is φ = 291285350400.

The previous prime is 1004935041763. The next prime is 1004935041809. The reversal of 1004935041792 is 2971405394001.

1004935041792 is a `hidden beast` number, since 1 + 0 + 0 + 49 + 3 + 504 + 17 + 92 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279084 + ... + 1444907.

It is an arithmetic number, because the mean of its divisors is an integer number (15269971808).

Almost surely, 2^{1004935041792} is an apocalyptic number.

1004935041792 is a gapful number since it is divisible by the number (12) 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 1004935041792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649156955264).

1004935041792 is an abundant number, since it is smaller than the sum of its proper divisors (2293378868736).

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

1004935041792 is a wasteful number, since it uses less digits than its factorization.

1004935041792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724047 (or 1724030 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1004935041792 in words is "one trillion, four billion, nine hundred thirty-five million, forty-one thousand, seven hundred ninety-two".