1004512143360 has 768 divisors, whose sum is σ = 3640316359680. Its totient is φ = 234348871680.

The previous prime is 1004512143311. The next prime is 1004512143389. The reversal of 1004512143360 is 633412154001.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 1060730407 + ... + 1060731353.

It is an arithmetic number, because the mean of its divisors is an integer number (4739995260).

Almost surely, 2^{1004512143360} is an apocalyptic number.

1004512143360 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 1004512143360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1820158179840).

1004512143360 is an abundant number, since it is smaller than the sum of its proper divisors (2635804216320).

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

1004512143360 is a wasteful number, since it uses less digits than its factorization.

1004512143360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1104 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 1004512143360 its reverse (633412154001), we get a palindrome (1637924297361).

The spelling of 1004512143360 in words is "one trillion, four billion, five hundred twelve million, one hundred forty-three thousand, three hundred sixty".