1005303480000 has 140 divisors (see below), whose sum is σ = 3323768272440. Its totient is φ = 268080896000.

The previous prime is 1005303479969. The next prime is 1005303480001. The reversal of 1005303480000 is 843035001.

It is a super-2 number, since 2×1005303480000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1005303480001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4068765 + ... + 4308764.

It is an arithmetic number, because the mean of its divisors is an integer number (23741201946).

Almost surely, 2^{1005303480000} is an apocalyptic number.

1005303480000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005303480000 is an abundant number, since it is smaller than the sum of its proper divisors (2318464792440).

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

1005303480000 is an frugal number, since it uses more digits than its factorization.

1005303480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8377564 (or 8377539 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 1005303480000 in words is "one trillion, five billion, three hundred three million, four hundred eighty thousand".