1081130419200 has 1056 divisors, whose sum is σ = 4068152121600. Its totient is φ = 251693629440.

The previous prime is 1081130419199. The next prime is 1081130419231. The reversal of 1081130419200 is 29140311801.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12147532756 + ... + 12147532844.

Almost surely, 2^{1081130419200} is an apocalyptic number.

1081130419200 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 1081130419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2034076060800).

1081130419200 is an abundant number, since it is smaller than the sum of its proper divisors (2987021702400).

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

1081130419200 is an equidigital number, since it uses as much as digits as its factorization.

1081130419200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 30.

The spelling of 1081130419200 in words is "one trillion, eighty-one billion, one hundred thirty million, four hundred nineteen thousand, two hundred".