1144705228800 has 1008 divisors, whose sum is σ = 4502111310720. Its totient is φ = 255763415040.

The previous prime is 1144705228741. The next prime is 1144705228831. The reversal of 1144705228800 is 88225074411.

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

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, 1414962796 + ... + 1414963604.

Almost surely, 2^{1144705228800} is an apocalyptic number.

1144705228800 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 1144705228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251055655360).

1144705228800 is an abundant number, since it is smaller than the sum of its proper divisors (3357406081920).

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

1144705228800 is an equidigital number, since it uses as much as digits as its factorization.

1144705228800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 909 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The spelling of 1144705228800 in words is "one trillion, one hundred forty-four billion, seven hundred five million, two hundred twenty-eight thousand, eight hundred".