1040442320000 has 160 divisors (see below), whose sum is σ = 2614344329520. Its totient is φ = 412284032000.

The previous prime is 1040442319999. The next prime is 1040442320003. The reversal of 1040442320000 is 232440401.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (1040442320003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8499227 + ... + 8620773.

Almost surely, 2^{1040442320000} is an apocalyptic number.

1040442320000 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 1040442320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307172164760).

1040442320000 is an abundant number, since it is smaller than the sum of its proper divisors (1573902009520).

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

1040442320000 is an equidigital number, since it uses as much as digits as its factorization.

1040442320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121688 (or 121661 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 1040442320000 its reverse (232440401), we get a palindrome (1040674760401).

The spelling of 1040442320000 in words is "one trillion, forty billion, four hundred forty-two million, three hundred twenty thousand".