1004741650000 has 360 divisors, whose sum is σ = 2832126466680. Its totient is φ = 343833600000.

The previous prime is 1004741649971. The next prime is 1004741650067. The reversal of 1004741650000 is 561474001.

It can be written as a sum of positive squares in 12 ways, for example, as 993562394176 + 11179255824 = 996776^2 + 105732^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 102845116 + ... + 102854884.

It is an arithmetic number, because the mean of its divisors is an integer number (7867017963).

Almost surely, 2^{1004741650000} is an apocalyptic number.

1004741650000 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 1004741650000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1416063233340).

1004741650000 is an abundant number, since it is smaller than the sum of its proper divisors (1827384816680).

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

1004741650000 is an equidigital number, since it uses as much as digits as its factorization.

1004741650000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9841 (or 9804 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The spelling of 1004741650000 in words is "one trillion, four billion, seven hundred forty-one million, six hundred fifty thousand".