1040444000768 has 40 divisors (see below), whose sum is σ = 2087778251988. Its totient is φ = 517989228544.

The previous prime is 1040444000767. The next prime is 1040444000803. The reversal of 1040444000768 is 8670004440401.

It can be written as a sum of positive squares in 2 ways, for example, as 915558095104 + 124885905664 = 956848^2 + 353392^2 .

It is not an unprimeable number, because it can be changed into a prime (1040444000767) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4241471 + ... + 4480062.

Almost surely, 2^{1040444000768} is an apocalyptic number.

It is an amenable number.

1040444000768 is an abundant number, since it is smaller than the sum of its proper divisors (1047334251220).

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

1040444000768 is an frugal number, since it uses more digits than its factorization.

1040444000768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8721784 (or 8721768 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 38.

The spelling of 1040444000768 in words is "one trillion, forty billion, four hundred forty-four million, seven hundred sixty-eight", and thus it is an aban number.