1004307791680 has 112 divisors (see below), whose sum is σ = 2497050103680. Its totient is φ = 384016140288.

The previous prime is 1004307791651. The next prime is 1004307791687. The reversal of 1004307791680 is 861977034001.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 1004307791680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004307791687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11932786 + ... + 12016654.

Almost surely, 2^{1004307791680} is an apocalyptic number.

1004307791680 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 1004307791680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248525051840).

1004307791680 is an abundant number, since it is smaller than the sum of its proper divisors (1492742312000).

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

1004307791680 is a wasteful number, since it uses less digits than its factorization.

1004307791680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85536 (or 85526 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 46.

The spelling of 1004307791680 in words is "one trillion, four billion, three hundred seven million, seven hundred ninety-one thousand, six hundred eighty".