1004075282720 has 48 divisors (see below), whose sum is σ = 2373823972800. Its totient is φ = 401342939904.

The previous prime is 1004075282713. The next prime is 1004075282741. The reversal of 1004075282720 is 272825704001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2019002 + ... + 2466681.

It is an arithmetic number, because the mean of its divisors is an integer number (49454666100).

Almost surely, 2^{1004075282720} is an apocalyptic number.

1004075282720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004075282720 is an abundant number, since it is smaller than the sum of its proper divisors (1369748690080).

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

1004075282720 is a wasteful number, since it uses less digits than its factorization.

1004075282720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4487097 (or 4487089 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 38.

The spelling of 1004075282720 in words is "one trillion, four billion, seventy-five million, two hundred eighty-two thousand, seven hundred twenty".