1131082444800 has 3510 divisors, whose sum is σ = 5590127693304. Its totient is φ = 224811417600.

The previous prime is 1131082444771. The next prime is 1131082444801. The reversal of 1131082444800 is 84442801311.

It is a happy number.

1131082444800 is a `hidden beast` number, since 1 + 131 + 0 + 8 + 2 + 44 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131082444801) by changing a digit.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 49177497589 + ... + 49177497611.

Almost surely, 2^{1131082444800} is an apocalyptic number.

1131082444800 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 1131082444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2795063846652).

1131082444800 is an abundant number, since it is smaller than the sum of its proper divisors (4459045248504).

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

1131082444800 is a wasteful number, since it uses less digits than its factorization.

1131082444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The spelling of 1131082444800 in words is "one trillion, one hundred thirty-one billion, eighty-two million, four hundred forty-four thousand, eight hundred".