1005445200000 has 384 divisors, whose sum is σ = 3385482065280. Its totient is φ = 264320000000.

The previous prime is 1005445199963. The next prime is 1005445200007. The reversal of 1005445200000 is 25445001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1005445200000.

It is not an unprimeable number, because it can be changed into a prime (1005445200007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85194100 + ... + 85205900.

It is an arithmetic number, because the mean of its divisors is an integer number (8816359545).

Almost surely, 2^{1005445200000} is an apocalyptic number.

1005445200000 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 1005445200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692741032640).

1005445200000 is an abundant number, since it is smaller than the sum of its proper divisors (2380036865280).

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

1005445200000 is an frugal number, since it uses more digits than its factorization.

1005445200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11914 (or 11882 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The spelling of 1005445200000 in words is "one trillion, five billion, four hundred forty-five million, two hundred thousand".