1045566412800 has 2304 divisors, whose sum is σ = 4658901811200. Its totient is φ = 200658124800.

The previous prime is 1045566412771. The next prime is 1045566412811. The reversal of 1045566412800 is 82146655401.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 8232806337 + ... + 8232806463.

It is an arithmetic number, because the mean of its divisors is an integer number (2022092800).

Almost surely, 2^{1045566412800} is an apocalyptic number.

1045566412800 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 1045566412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329450905600).

1045566412800 is an abundant number, since it is smaller than the sum of its proper divisors (3613335398400).

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

1045566412800 is a wasteful number, since it uses less digits than its factorization.

1045566412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 1045566412800 in words is "one trillion, forty-five billion, five hundred sixty-six million, four hundred twelve thousand, eight hundred".