1131443448800 has 288 divisors, whose sum is σ = 3385583308800. Its totient is φ = 360570562560.

The previous prime is 1131443448797. The next prime is 1131443448829. The reversal of 1131443448800 is 88443441311.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5538881 + ... + 5739519.

It is an arithmetic number, because the mean of its divisors is an integer number (11755497600).

Almost surely, 2^{1131443448800} is an apocalyptic number.

1131443448800 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 1131443448800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692791654400).

1131443448800 is an abundant number, since it is smaller than the sum of its proper divisors (2254139860000).

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

1131443448800 is a wasteful number, since it uses less digits than its factorization.

1131443448800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200738 (or 200725 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 41.

The spelling of 1131443448800 in words is "one trillion, one hundred thirty-one billion, four hundred forty-three million, four hundred forty-eight thousand, eight hundred".