1045041593344 has 132 divisors (see below), whose sum is σ = 2435459435640. Its totient is φ = 446893547520.

The previous prime is 1045041593287. The next prime is 1045041593357. The reversal of 1045041593344 is 4433951405401.

It is a super-2 number, since 2×1045041593344² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1045041593344.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23108547 + ... + 23153725.

It is an arithmetic number, because the mean of its divisors is an integer number (18450450270).

Almost surely, 2^{1045041593344} is an apocalyptic number.

1045041593344 is a gapful number since it is divisible by the number (14) 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 1045041593344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217729717820).

1045041593344 is an abundant number, since it is smaller than the sum of its proper divisors (1390417842296).

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

1045041593344 is an equidigital number, since it uses as much as digits as its factorization.

1045041593344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45674 (or 45649 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

Adding to 1045041593344 its reverse (4433951405401), we get a palindrome (5478992998745).

The spelling of 1045041593344 in words is "one trillion, forty-five billion, forty-one million, five hundred ninety-three thousand, three hundred forty-four".