1144545815040 has 160 divisors (see below), whose sum is σ = 3665093097600. Its totient is φ = 304701456384.

The previous prime is 1144545815027. The next prime is 1144545815041. The reversal of 1144545815040 is 405185454411.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1144545814983 and 1144545815001.

It is not an unprimeable number, because it can be changed into a prime (1144545815041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4475922 + ... + 4724718.

It is an arithmetic number, because the mean of its divisors is an integer number (22906831860).

Almost surely, 2^{1144545815040} is an apocalyptic number.

1144545815040 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 1144545815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832546548800).

1144545815040 is an abundant number, since it is smaller than the sum of its proper divisors (2520547282560).

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

1144545815040 is an equidigital number, since it uses as much as digits as its factorization.

1144545815040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249422 (or 249406 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 42.

The spelling of 1144545815040 in words is "one trillion, one hundred forty-four billion, five hundred forty-five million, eight hundred fifteen thousand, forty".